Finding the Third Proportional to 22,642 and 49,892

Step by Step Solution

1. Step 1: Write the proportion equation
   22,642 : 49,892 = 49,892 : x
2. Step 2: Convert to fraction form
   22,642/49,892 = 49,892/x
3. Step 3: Cross multiply
   22,642x = 49,892 × 49,892
4. Step 4: Simplify right side
   22,642x = 2,489,211,664
5. Step 5: Solve for x
   x = 2,489,211,664/22,642
6. Step 6: Final answer
   x = 109,937.80