Finding the Third Proportional to 30,528 and 71,802

Step by Step Solution

1. Step 1: Write the proportion equation
   30,528 : 71,802 = 71,802 : x
2. Step 2: Convert to fraction form
   30,528/71,802 = 71,802/x
3. Step 3: Cross multiply
   30,528x = 71,802 × 71,802
4. Step 4: Simplify right side
   30,528x = 5,155,527,204
5. Step 5: Solve for x
   x = 5,155,527,204/30,528
6. Step 6: Final answer
   x = 168,878.64