Finding the Third Proportional to 31,974 and 65,514

Step by Step Solution

1. Step 1: Write the proportion equation
   31,974 : 65,514 = 65,514 : x
2. Step 2: Convert to fraction form
   31,974/65,514 = 65,514/x
3. Step 3: Cross multiply
   31,974x = 65,514 × 65,514
4. Step 4: Simplify right side
   31,974x = 4,292,084,196
5. Step 5: Solve for x
   x = 4,292,084,196/31,974
6. Step 6: Final answer
   x = 134,236.70