Finding the Third Proportional to 24,609 and 53,728.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,609 : 53,728.50 = 53,728.50 : x
2. Step 2: Convert to fraction form
   24,609/53,728.50 = 53,728.50/x
3. Step 3: Cross multiply
   24,609x = 53,728.50 × 53,728.50
4. Step 4: Simplify right side
   24,609x = 2,886,751,712.25
5. Step 5: Solve for x
   x = 2,886,751,712.25/24,609
6. Step 6: Final answer
   x = 117,304.71