Finding the Third Proportional to 14,287.50 and 32,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,287.50 : 32,857.50 = 32,857.50 : x
2. Step 2: Convert to fraction form
   14,287.50/32,857.50 = 32,857.50/x
3. Step 3: Cross multiply
   14,287.50x = 32,857.50 × 32,857.50
4. Step 4: Simplify right side
   14,287.50x = 1,079,615,306.25
5. Step 5: Solve for x
   x = 1,079,615,306.25/14,287.50
6. Step 6: Final answer
   x = 75,563.63