Finding the Third Proportional to 5,646.38 and 12,382.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646.38 : 12,382.88 = 12,382.88 : x
2. Step 2: Convert to fraction form
   5,646.38/12,382.88 = 12,382.88/x
3. Step 3: Cross multiply
   5,646.38x = 12,382.88 × 12,382.88
4. Step 4: Simplify right side
   5,646.38x = 153,335,593.27
5. Step 5: Solve for x
   x = 153,335,593.27/5,646.38
6. Step 6: Final answer
   x = 27,156.47