Finding the Third Proportional to 24,849 and 53,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,849 : 53,158.50 = 53,158.50 : x
2. Step 2: Convert to fraction form
   24,849/53,158.50 = 53,158.50/x
3. Step 3: Cross multiply
   24,849x = 53,158.50 × 53,158.50
4. Step 4: Simplify right side
   24,849x = 2,825,826,122.25
5. Step 5: Solve for x
   x = 2,825,826,122.25/24,849
6. Step 6: Final answer
   x = 113,719.91