Finding the Third Proportional to 32,942 and 68,068

Step by Step Solution

1. Step 1: Write the proportion equation
   32,942 : 68,068 = 68,068 : x
2. Step 2: Convert to fraction form
   32,942/68,068 = 68,068/x
3. Step 3: Cross multiply
   32,942x = 68,068 × 68,068
4. Step 4: Simplify right side
   32,942x = 4,633,252,624
5. Step 5: Solve for x
   x = 4,633,252,624/32,942
6. Step 6: Final answer
   x = 140,648.80