Finding the Third Proportional to 42,909.75 and 65,641.13

Step by Step Solution

1. Step 1: Write the proportion equation
   42,909.75 : 65,641.13 = 65,641.13 : x
2. Step 2: Convert to fraction form
   42,909.75/65,641.13 = 65,641.13/x
3. Step 3: Cross multiply
   42,909.75x = 65,641.13 × 65,641.13
4. Step 4: Simplify right side
   42,909.75x = 4,308,757,291.27
5. Step 5: Solve for x
   x = 4,308,757,291.27/42,909.75
6. Step 6: Final answer
   x = 100,414.41