Finding the Third Proportional to 21,949 and 48,061

Step by Step Solution

1. Step 1: Write the proportion equation
   21,949 : 48,061 = 48,061 : x
2. Step 2: Convert to fraction form
   21,949/48,061 = 48,061/x
3. Step 3: Cross multiply
   21,949x = 48,061 × 48,061
4. Step 4: Simplify right side
   21,949x = 2,309,859,721
5. Step 5: Solve for x
   x = 2,309,859,721/21,949
6. Step 6: Final answer
   x = 105,237.58