Finding the Third Proportional to 10,588.50 and 17,454.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.50 : 17,454.38 = 17,454.38 : x
2. Step 2: Convert to fraction form
   10,588.50/17,454.38 = 17,454.38/x
3. Step 3: Cross multiply
   10,588.50x = 17,454.38 × 17,454.38
4. Step 4: Simplify right side
   10,588.50x = 304,655,206.64
5. Step 5: Solve for x
   x = 304,655,206.64/10,588.50
6. Step 6: Final answer
   x = 28,772.27