Finding the Third Proportional to 13,401.75 and 25,588.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,401.75 : 25,588.50 = 25,588.50 : x
2. Step 2: Convert to fraction form
   13,401.75/25,588.50 = 25,588.50/x
3. Step 3: Cross multiply
   13,401.75x = 25,588.50 × 25,588.50
4. Step 4: Simplify right side
   13,401.75x = 654,771,332.25
5. Step 5: Solve for x
   x = 654,771,332.25/13,401.75
6. Step 6: Final answer
   x = 48,857.15