Finding the Third Proportional to 23,116 and 54,514

Step by Step Solution

1. Step 1: Write the proportion equation
   23,116 : 54,514 = 54,514 : x
2. Step 2: Convert to fraction form
   23,116/54,514 = 54,514/x
3. Step 3: Cross multiply
   23,116x = 54,514 × 54,514
4. Step 4: Simplify right side
   23,116x = 2,971,776,196
5. Step 5: Solve for x
   x = 2,971,776,196/23,116
6. Step 6: Final answer
   x = 128,559.27