Finding the Third Proportional to 22,853 and 49,898

Step by Step Solution

1. Step 1: Write the proportion equation
   22,853 : 49,898 = 49,898 : x
2. Step 2: Convert to fraction form
   22,853/49,898 = 49,898/x
3. Step 3: Cross multiply
   22,853x = 49,898 × 49,898
4. Step 4: Simplify right side
   22,853x = 2,489,810,404
5. Step 5: Solve for x
   x = 2,489,810,404/22,853
6. Step 6: Final answer
   x = 108,948.95