Finding the Third Proportional to 24,616.50 and 53,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,616.50 : 53,389.50 = 53,389.50 : x
2. Step 2: Convert to fraction form
   24,616.50/53,389.50 = 53,389.50/x
3. Step 3: Cross multiply
   24,616.50x = 53,389.50 × 53,389.50
4. Step 4: Simplify right side
   24,616.50x = 2,850,438,710.25
5. Step 5: Solve for x
   x = 2,850,438,710.25/24,616.50
6. Step 6: Final answer
   x = 115,793.83