Finding the Third Proportional to 11,785.50 and 18,088.31

Step by Step Solution

1. Step 1: Write the proportion equation
   11,785.50 : 18,088.31 = 18,088.31 : x
2. Step 2: Convert to fraction form
   11,785.50/18,088.31 = 18,088.31/x
3. Step 3: Cross multiply
   11,785.50x = 18,088.31 × 18,088.31
4. Step 4: Simplify right side
   11,785.50x = 327,187,049.10
5. Step 5: Solve for x
   x = 327,187,049.10/11,785.50
6. Step 6: Final answer
   x = 27,761.83