Finding the Third Proportional to 11,821.50 and 24,248.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,821.50 : 24,248.25 = 24,248.25 : x
2. Step 2: Convert to fraction form
   11,821.50/24,248.25 = 24,248.25/x
3. Step 3: Cross multiply
   11,821.50x = 24,248.25 × 24,248.25
4. Step 4: Simplify right side
   11,821.50x = 587,977,628.06
5. Step 5: Solve for x
   x = 587,977,628.06/11,821.50
6. Step 6: Final answer
   x = 49,737.99