Finding the Third Proportional to 5,840 and 12,250

Step by Step Solution

1. Step 1: Write the proportion equation
   5,840 : 12,250 = 12,250 : x
2. Step 2: Convert to fraction form
   5,840/12,250 = 12,250/x
3. Step 3: Cross multiply
   5,840x = 12,250 × 12,250
4. Step 4: Simplify right side
   5,840x = 150,062,500
5. Step 5: Solve for x
   x = 150,062,500/5,840
6. Step 6: Final answer
   x = 25,695.63