Finding the Third Proportional to 14,677 and 31,972

Step by Step Solution

1. Step 1: Write the proportion equation
   14,677 : 31,972 = 31,972 : x
2. Step 2: Convert to fraction form
   14,677/31,972 = 31,972/x
3. Step 3: Cross multiply
   14,677x = 31,972 × 31,972
4. Step 4: Simplify right side
   14,677x = 1,022,208,784
5. Step 5: Solve for x
   x = 1,022,208,784/14,677
6. Step 6: Final answer
   x = 69,646.98