Finding the Third Proportional to 14,825.50 and 32,566.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,825.50 : 32,566.75 = 32,566.75 : x
2. Step 2: Convert to fraction form
   14,825.50/32,566.75 = 32,566.75/x
3. Step 3: Cross multiply
   14,825.50x = 32,566.75 × 32,566.75
4. Step 4: Simplify right side
   14,825.50x = 1,060,593,205.56
5. Step 5: Solve for x
   x = 1,060,593,205.56/14,825.50
6. Step 6: Final answer
   x = 71,538.44