Finding the Third Proportional to 42,909.75 and 65,640.38

Step by Step Solution

1. Step 1: Write the proportion equation
   42,909.75 : 65,640.38 = 65,640.38 : x
2. Step 2: Convert to fraction form
   42,909.75/65,640.38 = 65,640.38/x
3. Step 3: Cross multiply
   42,909.75x = 65,640.38 × 65,640.38
4. Step 4: Simplify right side
   42,909.75x = 4,308,658,830.14
5. Step 5: Solve for x
   x = 4,308,658,830.14/42,909.75
6. Step 6: Final answer
   x = 100,412.12