Finding the Third Proportional to 17,627.50 and 39,693.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,627.50 : 39,693.75 = 39,693.75 : x
2. Step 2: Convert to fraction form
   17,627.50/39,693.75 = 39,693.75/x
3. Step 3: Cross multiply
   17,627.50x = 39,693.75 × 39,693.75
4. Step 4: Simplify right side
   17,627.50x = 1,575,593,789.06
5. Step 5: Solve for x
   x = 1,575,593,789.06/17,627.50
6. Step 6: Final answer
   x = 89,382.71