Finding the Third Proportional to 32,928 and 68,034

Step by Step Solution

1. Step 1: Write the proportion equation
   32,928 : 68,034 = 68,034 : x
2. Step 2: Convert to fraction form
   32,928/68,034 = 68,034/x
3. Step 3: Cross multiply
   32,928x = 68,034 × 68,034
4. Step 4: Simplify right side
   32,928x = 4,628,625,156
5. Step 5: Solve for x
   x = 4,628,625,156/32,928
6. Step 6: Final answer
   x = 140,568.06