Finding the Third Proportional to 11,382 and 24,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,382 : 24,586.50 = 24,586.50 : x
2. Step 2: Convert to fraction form
   11,382/24,586.50 = 24,586.50/x
3. Step 3: Cross multiply
   11,382x = 24,586.50 × 24,586.50
4. Step 4: Simplify right side
   11,382x = 604,495,982.25
5. Step 5: Solve for x
   x = 604,495,982.25/11,382
6. Step 6: Final answer
   x = 53,109.82