Finding the Third Proportional to 5,876.25 and 12,238.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,876.25 : 12,238.50 = 12,238.50 : x
2. Step 2: Convert to fraction form
   5,876.25/12,238.50 = 12,238.50/x
3. Step 3: Cross multiply
   5,876.25x = 12,238.50 × 12,238.50
4. Step 4: Simplify right side
   5,876.25x = 149,780,882.25
5. Step 5: Solve for x
   x = 149,780,882.25/5,876.25
6. Step 6: Final answer
   x = 25,489.20