Finding the Third Proportional to 11,830.50 and 24,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,830.50 : 24,205.50 = 24,205.50 : x
2. Step 2: Convert to fraction form
   11,830.50/24,205.50 = 24,205.50/x
3. Step 3: Cross multiply
   11,830.50x = 24,205.50 × 24,205.50
4. Step 4: Simplify right side
   11,830.50x = 585,906,230.25
5. Step 5: Solve for x
   x = 585,906,230.25/11,830.50
6. Step 6: Final answer
   x = 49,525.06