Finding the Third Proportional to 24,109 and 51,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,109 : 51,839.50 = 51,839.50 : x
2. Step 2: Convert to fraction form
   24,109/51,839.50 = 51,839.50/x
3. Step 3: Cross multiply
   24,109x = 51,839.50 × 51,839.50
4. Step 4: Simplify right side
   24,109x = 2,687,333,760.25
5. Step 5: Solve for x
   x = 2,687,333,760.25/24,109
6. Step 6: Final answer
   x = 111,466.00