Finding the Third Proportional to 10,588.50 and 14,613.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.50 : 14,613.75 = 14,613.75 : x
2. Step 2: Convert to fraction form
   10,588.50/14,613.75 = 14,613.75/x
3. Step 3: Cross multiply
   10,588.50x = 14,613.75 × 14,613.75
4. Step 4: Simplify right side
   10,588.50x = 213,561,689.06
5. Step 5: Solve for x
   x = 213,561,689.06/10,588.50
6. Step 6: Final answer
   x = 20,169.21