Finding the Third Proportional to 24,268 and 53,061

Step by Step Solution

1. Step 1: Write the proportion equation
   24,268 : 53,061 = 53,061 : x
2. Step 2: Convert to fraction form
   24,268/53,061 = 53,061/x
3. Step 3: Cross multiply
   24,268x = 53,061 × 53,061
4. Step 4: Simplify right side
   24,268x = 2,815,469,721
5. Step 5: Solve for x
   x = 2,815,469,721/24,268
6. Step 6: Final answer
   x = 116,015.73