Finding the Third Proportional to 14,833.50 and 32,565

Step by Step Solution

1. Step 1: Write the proportion equation
   14,833.50 : 32,565 = 32,565 : x
2. Step 2: Convert to fraction form
   14,833.50/32,565 = 32,565/x
3. Step 3: Cross multiply
   14,833.50x = 32,565 × 32,565
4. Step 4: Simplify right side
   14,833.50x = 1,060,479,225
5. Step 5: Solve for x
   x = 1,060,479,225/14,833.50
6. Step 6: Final answer
   x = 71,492.18