Finding the Third Proportional to 11,542.50 and 17,646.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,542.50 : 17,646.75 = 17,646.75 : x
2. Step 2: Convert to fraction form
   11,542.50/17,646.75 = 17,646.75/x
3. Step 3: Cross multiply
   11,542.50x = 17,646.75 × 17,646.75
4. Step 4: Simplify right side
   11,542.50x = 311,407,785.56
5. Step 5: Solve for x
   x = 311,407,785.56/11,542.50
6. Step 6: Final answer
   x = 26,979.23