Finding the Third Proportional to 12,138.75 and 17,651.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,138.75 : 17,651.25 = 17,651.25 : x
2. Step 2: Convert to fraction form
   12,138.75/17,651.25 = 17,651.25/x
3. Step 3: Cross multiply
   12,138.75x = 17,651.25 × 17,651.25
4. Step 4: Simplify right side
   12,138.75x = 311,566,626.56
5. Step 5: Solve for x
   x = 311,566,626.56/12,138.75
6. Step 6: Final answer
   x = 25,667.11