Finding the Third Proportional to 31,853 and 68,662

Step by Step Solution

1. Step 1: Write the proportion equation
   31,853 : 68,662 = 68,662 : x
2. Step 2: Convert to fraction form
   31,853/68,662 = 68,662/x
3. Step 3: Cross multiply
   31,853x = 68,662 × 68,662
4. Step 4: Simplify right side
   31,853x = 4,714,470,244
5. Step 5: Solve for x
   x = 4,714,470,244/31,853
6. Step 6: Final answer
   x = 148,007.10