Finding the Third Proportional to 11,515.50 and 24,978

Step by Step Solution

1. Step 1: Write the proportion equation
   11,515.50 : 24,978 = 24,978 : x
2. Step 2: Convert to fraction form
   11,515.50/24,978 = 24,978/x
3. Step 3: Cross multiply
   11,515.50x = 24,978 × 24,978
4. Step 4: Simplify right side
   11,515.50x = 623,900,484
5. Step 5: Solve for x
   x = 623,900,484/11,515.50
6. Step 6: Final answer
   x = 54,179.19