Finding the Third Proportional to 11,665.50 and 24,771

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.50 : 24,771 = 24,771 : x
2. Step 2: Convert to fraction form
   11,665.50/24,771 = 24,771/x
3. Step 3: Cross multiply
   11,665.50x = 24,771 × 24,771
4. Step 4: Simplify right side
   11,665.50x = 613,602,441
5. Step 5: Solve for x
   x = 613,602,441/11,665.50
6. Step 6: Final answer
   x = 52,599.75