Finding the Third Proportional to 6,166.13 and 12,496.78

Step by Step Solution

1. Step 1: Write the proportion equation
   6,166.13 : 12,496.78 = 12,496.78 : x
2. Step 2: Convert to fraction form
   6,166.13/12,496.78 = 12,496.78/x
3. Step 3: Cross multiply
   6,166.13x = 12,496.78 × 12,496.78
4. Step 4: Simplify right side
   6,166.13x = 156,169,541.61
5. Step 5: Solve for x
   x = 156,169,541.61/6,166.13
6. Step 6: Final answer
   x = 25,327.02