Finding the Third Proportional to 11,280 and 24,706

Step by Step Solution

1. Step 1: Write the proportion equation
   11,280 : 24,706 = 24,706 : x
2. Step 2: Convert to fraction form
   11,280/24,706 = 24,706/x
3. Step 3: Cross multiply
   11,280x = 24,706 × 24,706
4. Step 4: Simplify right side
   11,280x = 610,386,436
5. Step 5: Solve for x
   x = 610,386,436/11,280
6. Step 6: Final answer
   x = 54,112.27