Finding the Third Proportional to 11,166 and 24,325.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,166 : 24,325.50 = 24,325.50 : x
2. Step 2: Convert to fraction form
   11,166/24,325.50 = 24,325.50/x
3. Step 3: Cross multiply
   11,166x = 24,325.50 × 24,325.50
4. Step 4: Simplify right side
   11,166x = 591,729,950.25
5. Step 5: Solve for x
   x = 591,729,950.25/11,166
6. Step 6: Final answer
   x = 52,993.91