Finding the Third Proportional to 14,457 and 31,746

Step by Step Solution

1. Step 1: Write the proportion equation
   14,457 : 31,746 = 31,746 : x
2. Step 2: Convert to fraction form
   14,457/31,746 = 31,746/x
3. Step 3: Cross multiply
   14,457x = 31,746 × 31,746
4. Step 4: Simplify right side
   14,457x = 1,007,808,516
5. Step 5: Solve for x
   x = 1,007,808,516/14,457
6. Step 6: Final answer
   x = 69,710.76