Finding the Third Proportional to 31,560 and 68,016

Step by Step Solution

1. Step 1: Write the proportion equation
   31,560 : 68,016 = 68,016 : x
2. Step 2: Convert to fraction form
   31,560/68,016 = 68,016/x
3. Step 3: Cross multiply
   31,560x = 68,016 × 68,016
4. Step 4: Simplify right side
   31,560x = 4,626,176,256
5. Step 5: Solve for x
   x = 4,626,176,256/31,560
6. Step 6: Final answer
   x = 146,583.53