Finding the Third Proportional to 21,767 and 34,514

Step by Step Solution

1. Step 1: Write the proportion equation
   21,767 : 34,514 = 34,514 : x
2. Step 2: Convert to fraction form
   21,767/34,514 = 34,514/x
3. Step 3: Cross multiply
   21,767x = 34,514 × 34,514
4. Step 4: Simplify right side
   21,767x = 1,191,216,196
5. Step 5: Solve for x
   x = 1,191,216,196/21,767
6. Step 6: Final answer
   x = 54,725.79