Finding the Third Proportional to 32,034 and 67,758

Step by Step Solution

1. Step 1: Write the proportion equation
   32,034 : 67,758 = 67,758 : x
2. Step 2: Convert to fraction form
   32,034/67,758 = 67,758/x
3. Step 3: Cross multiply
   32,034x = 67,758 × 67,758
4. Step 4: Simplify right side
   32,034x = 4,591,146,564
5. Step 5: Solve for x
   x = 4,591,146,564/32,034
6. Step 6: Final answer
   x = 143,321.05