Finding the Third Proportional to 16,382,385,312,939 and 35,648,730,377,378

Step by Step Solution

1. Step 1: Write the proportion equation
   16,382,385,312,939 : 35,648,730,377,378 = 35,648,730,377,378 : x
2. Step 2: Convert to fraction form
   16,382,385,312,939/35,648,730,377,378 = 35,648,730,377,378/x
3. Step 3: Cross multiply
   16,382,385,312,939x = 35,648,730,377,378 × 35,648,730,377,378
4. Step 4: Simplify right side
   16,382,385,312,939x = 1,270,831,977,518,993,075,397,984,256
5. Step 5: Solve for x
   x = 1,270,831,977,518,993,075,397,984,256/16,382,385,312,939
6. Step 6: Final answer
   x = 77,573,073,349,414.81