Finding the Third Proportional to 16,382,385,312,937 and 35,648,730,377,374

Step by Step Solution

1. Step 1: Write the proportion equation
   16,382,385,312,937 : 35,648,730,377,374 = 35,648,730,377,374 : x
2. Step 2: Convert to fraction form
   16,382,385,312,937/35,648,730,377,374 = 35,648,730,377,374/x
3. Step 3: Cross multiply
   16,382,385,312,937x = 35,648,730,377,374 × 35,648,730,377,374
4. Step 4: Simplify right side
   16,382,385,312,937x = 1,270,831,977,518,707,752,130,576,384
5. Step 5: Solve for x
   x = 1,270,831,977,518,707,752,130,576,384/16,382,385,312,937
6. Step 6: Final answer
   x = 77,573,073,349,406.88