Finding the Third Proportional to 24,786 and 54,022.57

Step by Step Solution

1. Step 1: Write the proportion equation
   24,786 : 54,022.57 = 54,022.57 : x
2. Step 2: Convert to fraction form
   24,786/54,022.57 = 54,022.57/x
3. Step 3: Cross multiply
   24,786x = 54,022.57 × 54,022.57
4. Step 4: Simplify right side
   24,786x = 2,918,438,103.17
5. Step 5: Solve for x
   x = 2,918,438,103.17/24,786
6. Step 6: Final answer
   x = 117,745.42