Finding the Third Proportional to 40,209.75 and 85,762.13

Step by Step Solution

1. Step 1: Write the proportion equation
   40,209.75 : 85,762.13 = 85,762.13 : x
2. Step 2: Convert to fraction form
   40,209.75/85,762.13 = 85,762.13/x
3. Step 3: Cross multiply
   40,209.75x = 85,762.13 × 85,762.13
4. Step 4: Simplify right side
   40,209.75x = 7,355,142,084.52
5. Step 5: Solve for x
   x = 7,355,142,084.52/40,209.75
6. Step 6: Final answer
   x = 182,919.37