Finding the Third Proportional to 24,904.50 and 53,768.25

Step by Step Solution

1. Step 1: Write the proportion equation
   24,904.50 : 53,768.25 = 53,768.25 : x
2. Step 2: Convert to fraction form
   24,904.50/53,768.25 = 53,768.25/x
3. Step 3: Cross multiply
   24,904.50x = 53,768.25 × 53,768.25
4. Step 4: Simplify right side
   24,904.50x = 2,891,024,708.06
5. Step 5: Solve for x
   x = 2,891,024,708.06/24,904.50
6. Step 6: Final answer
   x = 116,084.43