Finding the Third Proportional to 10,588.50 and 17,655.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.50 : 17,655.75 = 17,655.75 : x
2. Step 2: Convert to fraction form
   10,588.50/17,655.75 = 17,655.75/x
3. Step 3: Cross multiply
   10,588.50x = 17,655.75 × 17,655.75
4. Step 4: Simplify right side
   10,588.50x = 311,725,508.06
5. Step 5: Solve for x
   x = 311,725,508.06/10,588.50
6. Step 6: Final answer
   x = 29,440.01