Finding the Third Proportional to 13,129.88 and 17,688.38

Step by Step Solution

1. Step 1: Write the proportion equation
   13,129.88 : 17,688.38 = 17,688.38 : x
2. Step 2: Convert to fraction form
   13,129.88/17,688.38 = 17,688.38/x
3. Step 3: Cross multiply
   13,129.88x = 17,688.38 × 17,688.38
4. Step 4: Simplify right side
   13,129.88x = 312,878,610.14
5. Step 5: Solve for x
   x = 312,878,610.14/13,129.88
6. Step 6: Final answer
   x = 23,829.52