Finding the Third Proportional to 11,442 and 24,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,442 : 24,706.50 = 24,706.50 : x
2. Step 2: Convert to fraction form
   11,442/24,706.50 = 24,706.50/x
3. Step 3: Cross multiply
   11,442x = 24,706.50 × 24,706.50
4. Step 4: Simplify right side
   11,442x = 610,411,142.25
5. Step 5: Solve for x
   x = 610,411,142.25/11,442
6. Step 6: Final answer
   x = 53,348.29