Finding the Third Proportional to 14,677 and 31,746

Step by Step Solution

1. Step 1: Write the proportion equation
   14,677 : 31,746 = 31,746 : x
2. Step 2: Convert to fraction form
   14,677/31,746 = 31,746/x
3. Step 3: Cross multiply
   14,677x = 31,746 × 31,746
4. Step 4: Simplify right side
   14,677x = 1,007,808,516
5. Step 5: Solve for x
   x = 1,007,808,516/14,677
6. Step 6: Final answer
   x = 68,665.84