Finding the Third Proportional to 17,574 and 23,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,574 : 23,857.50 = 23,857.50 : x
2. Step 2: Convert to fraction form
   17,574/23,857.50 = 23,857.50/x
3. Step 3: Cross multiply
   17,574x = 23,857.50 × 23,857.50
4. Step 4: Simplify right side
   17,574x = 569,180,306.25
5. Step 5: Solve for x
   x = 569,180,306.25/17,574
6. Step 6: Final answer
   x = 32,387.64