Finding the Third Proportional to 10,884 and 24,200

Step by Step Solution

1. Step 1: Write the proportion equation
   10,884 : 24,200 = 24,200 : x
2. Step 2: Convert to fraction form
   10,884/24,200 = 24,200/x
3. Step 3: Cross multiply
   10,884x = 24,200 × 24,200
4. Step 4: Simplify right side
   10,884x = 585,640,000
5. Step 5: Solve for x
   x = 585,640,000/10,884
6. Step 6: Final answer
   x = 53,807.42