Finding the Third Proportional to 14,664 and 32,250

Step by Step Solution

1. Step 1: Write the proportion equation
   14,664 : 32,250 = 32,250 : x
2. Step 2: Convert to fraction form
   14,664/32,250 = 32,250/x
3. Step 3: Cross multiply
   14,664x = 32,250 × 32,250
4. Step 4: Simplify right side
   14,664x = 1,040,062,500
5. Step 5: Solve for x
   x = 1,040,062,500/14,664
6. Step 6: Final answer
   x = 70,926.25