Finding the Third Proportional to 6,851,537,784 and 10,902,143,538

Step by Step Solution

1. Step 1: Write the proportion equation
   6,851,537,784 : 10,902,143,538 = 10,902,143,538 : x
2. Step 2: Convert to fraction form
   6,851,537,784/10,902,143,538 = 10,902,143,538/x
3. Step 3: Cross multiply
   6,851,537,784x = 10,902,143,538 × 10,902,143,538
4. Step 4: Simplify right side
   6,851,537,784x = 118,856,733,723,155,152,896
5. Step 5: Solve for x
   x = 118,856,733,723,155,152,896/6,851,537,784
6. Step 6: Final answer
   x = 17,347,453,589.28