Finding the Third Proportional to 32,840 and 68,016

Step by Step Solution

1. Step 1: Write the proportion equation
   32,840 : 68,016 = 68,016 : x
2. Step 2: Convert to fraction form
   32,840/68,016 = 68,016/x
3. Step 3: Cross multiply
   32,840x = 68,016 × 68,016
4. Step 4: Simplify right side
   32,840x = 4,626,176,256
5. Step 5: Solve for x
   x = 4,626,176,256/32,840
6. Step 6: Final answer
   x = 140,870.17