Finding the Third Proportional to 75,642.50 and 102,780

Step by Step Solution

1. Step 1: Write the proportion equation
   75,642.50 : 102,780 = 102,780 : x
2. Step 2: Convert to fraction form
   75,642.50/102,780 = 102,780/x
3. Step 3: Cross multiply
   75,642.50x = 102,780 × 102,780
4. Step 4: Simplify right side
   75,642.50x = 10,563,728,400
5. Step 5: Solve for x
   x = 10,563,728,400/75,642.50
6. Step 6: Final answer
   x = 139,653.35