Finding the Third Proportional to 11,646.31 and 16,463.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646.31 : 16,463.69 = 16,463.69 : x
2. Step 2: Convert to fraction form
   11,646.31/16,463.69 = 16,463.69/x
3. Step 3: Cross multiply
   11,646.31x = 16,463.69 × 16,463.69
4. Step 4: Simplify right side
   11,646.31x = 271,053,006.10
5. Step 5: Solve for x
   x = 271,053,006.10/11,646.31
6. Step 6: Final answer
   x = 23,273.72