Finding the Third Proportional to 14,760 and 32,400

Step by Step Solution

1. Step 1: Write the proportion equation
   14,760 : 32,400 = 32,400 : x
2. Step 2: Convert to fraction form
   14,760/32,400 = 32,400/x
3. Step 3: Cross multiply
   14,760x = 32,400 × 32,400
4. Step 4: Simplify right side
   14,760x = 1,049,760,000
5. Step 5: Solve for x
   x = 1,049,760,000/14,760
6. Step 6: Final answer
   x = 71,121.95