Finding the Third Proportional to 22,884 and 50,140

Step by Step Solution

1. Step 1: Write the proportion equation
   22,884 : 50,140 = 50,140 : x
2. Step 2: Convert to fraction form
   22,884/50,140 = 50,140/x
3. Step 3: Cross multiply
   22,884x = 50,140 × 50,140
4. Step 4: Simplify right side
   22,884x = 2,514,019,600
5. Step 5: Solve for x
   x = 2,514,019,600/22,884
6. Step 6: Final answer
   x = 109,859.27