Finding the Third Proportional to 14,872 and 32,164

Step by Step Solution

1. Step 1: Write the proportion equation
   14,872 : 32,164 = 32,164 : x
2. Step 2: Convert to fraction form
   14,872/32,164 = 32,164/x
3. Step 3: Cross multiply
   14,872x = 32,164 × 32,164
4. Step 4: Simplify right side
   14,872x = 1,034,522,896
5. Step 5: Solve for x
   x = 1,034,522,896/14,872
6. Step 6: Final answer
   x = 69,561.79