Finding the Third Proportional to 16,382,385,312,941 and 35,648,730,377,382

Step by Step Solution

1. Step 1: Write the proportion equation
   16,382,385,312,941 : 35,648,730,377,382 = 35,648,730,377,382 : x
2. Step 2: Convert to fraction form
   16,382,385,312,941/35,648,730,377,382 = 35,648,730,377,382/x
3. Step 3: Cross multiply
   16,382,385,312,941x = 35,648,730,377,382 × 35,648,730,377,382
4. Step 4: Simplify right side
   16,382,385,312,941x = 1,270,831,977,519,278,123,787,485,184
5. Step 5: Solve for x
   x = 1,270,831,977,519,278,123,787,485,184/16,382,385,312,941
6. Step 6: Final answer
   x = 77,573,073,349,422.75