Finding the Third Proportional to 5,658 and 12,260

Step by Step Solution

1. Step 1: Write the proportion equation
   5,658 : 12,260 = 12,260 : x
2. Step 2: Convert to fraction form
   5,658/12,260 = 12,260/x
3. Step 3: Cross multiply
   5,658x = 12,260 × 12,260
4. Step 4: Simplify right side
   5,658x = 150,307,600
5. Step 5: Solve for x
   x = 150,307,600/5,658
6. Step 6: Final answer
   x = 26,565.50