Finding the Third Proportional to 14,632 and 21,400

Step by Step Solution

1. Step 1: Write the proportion equation
   14,632 : 21,400 = 21,400 : x
2. Step 2: Convert to fraction form
   14,632/21,400 = 21,400/x
3. Step 3: Cross multiply
   14,632x = 21,400 × 21,400
4. Step 4: Simplify right side
   14,632x = 457,960,000
5. Step 5: Solve for x
   x = 457,960,000/14,632
6. Step 6: Final answer
   x = 31,298.52