Finding the Third Proportional to 24,728 and 53,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,728 : 53,559.50 = 53,559.50 : x
2. Step 2: Convert to fraction form
   24,728/53,559.50 = 53,559.50/x
3. Step 3: Cross multiply
   24,728x = 53,559.50 × 53,559.50
4. Step 4: Simplify right side
   24,728x = 2,868,620,040.25
5. Step 5: Solve for x
   x = 2,868,620,040.25/24,728
6. Step 6: Final answer
   x = 116,006.96