Finding the Third Proportional to 11,410 and 16,746

Step by Step Solution

1. Step 1: Write the proportion equation
   11,410 : 16,746 = 16,746 : x
2. Step 2: Convert to fraction form
   11,410/16,746 = 16,746/x
3. Step 3: Cross multiply
   11,410x = 16,746 × 16,746
4. Step 4: Simplify right side
   11,410x = 280,428,516
5. Step 5: Solve for x
   x = 280,428,516/11,410
6. Step 6: Final answer
   x = 24,577.43