Finding the Third Proportional to 24,324 and 52,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,324 : 52,778.50 = 52,778.50 : x
2. Step 2: Convert to fraction form
   24,324/52,778.50 = 52,778.50/x
3. Step 3: Cross multiply
   24,324x = 52,778.50 × 52,778.50
4. Step 4: Simplify right side
   24,324x = 2,785,570,062.25
5. Step 5: Solve for x
   x = 2,785,570,062.25/24,324
6. Step 6: Final answer
   x = 114,519.41