Finding the Third Proportional to 32,823 and 71,662

Step by Step Solution

1. Step 1: Write the proportion equation
   32,823 : 71,662 = 71,662 : x
2. Step 2: Convert to fraction form
   32,823/71,662 = 71,662/x
3. Step 3: Cross multiply
   32,823x = 71,662 × 71,662
4. Step 4: Simplify right side
   32,823x = 5,135,442,244
5. Step 5: Solve for x
   x = 5,135,442,244/32,823
6. Step 6: Final answer
   x = 156,458.65