Finding the Third Proportional to 14,600 and 31,872

Step by Step Solution

1. Step 1: Write the proportion equation
   14,600 : 31,872 = 31,872 : x
2. Step 2: Convert to fraction form
   14,600/31,872 = 31,872/x
3. Step 3: Cross multiply
   14,600x = 31,872 × 31,872
4. Step 4: Simplify right side
   14,600x = 1,015,824,384
5. Step 5: Solve for x
   x = 1,015,824,384/14,600
6. Step 6: Final answer
   x = 69,577.01