Finding the Third Proportional to 7,084,397,085 and 16,400,813,499

Step by Step Solution

1. Step 1: Write the proportion equation
   7,084,397,085 : 16,400,813,499 = 16,400,813,499 : x
2. Step 2: Convert to fraction form
   7,084,397,085/16,400,813,499 = 16,400,813,499/x
3. Step 3: Cross multiply
   7,084,397,085x = 16,400,813,499 × 16,400,813,499
4. Step 4: Simplify right side
   7,084,397,085x = 268,986,683,428,980,621,312
5. Step 5: Solve for x
   x = 268,986,683,428,980,621,312/7,084,397,085
6. Step 6: Final answer
   x = 37,968,888,559.13