Finding the Third Proportional to 32,802 and 71,759

Step by Step Solution

1. Step 1: Write the proportion equation
   32,802 : 71,759 = 71,759 : x
2. Step 2: Convert to fraction form
   32,802/71,759 = 71,759/x
3. Step 3: Cross multiply
   32,802x = 71,759 × 71,759
4. Step 4: Simplify right side
   32,802x = 5,149,354,081
5. Step 5: Solve for x
   x = 5,149,354,081/32,802
6. Step 6: Final answer
   x = 156,982.93