Finding the Third Proportional to 31,797 and 68,514

Step by Step Solution

1. Step 1: Write the proportion equation
   31,797 : 68,514 = 68,514 : x
2. Step 2: Convert to fraction form
   31,797/68,514 = 68,514/x
3. Step 3: Cross multiply
   31,797x = 68,514 × 68,514
4. Step 4: Simplify right side
   31,797x = 4,694,168,196
5. Step 5: Solve for x
   x = 4,694,168,196/31,797
6. Step 6: Final answer
   x = 147,629.28