Finding the Third Proportional to 13,138.50 and 17,701.88

Step by Step Solution

1. Step 1: Write the proportion equation
   13,138.50 : 17,701.88 = 17,701.88 : x
2. Step 2: Convert to fraction form
   13,138.50/17,701.88 = 17,701.88/x
3. Step 3: Cross multiply
   13,138.50x = 17,701.88 × 17,701.88
4. Step 4: Simplify right side
   13,138.50x = 313,356,378.52
5. Step 5: Solve for x
   x = 313,356,378.52/13,138.50
6. Step 6: Final answer
   x = 23,850.24