Finding the Third Proportional to 32,933 and 72,585

Step by Step Solution

1. Step 1: Write the proportion equation
   32,933 : 72,585 = 72,585 : x
2. Step 2: Convert to fraction form
   32,933/72,585 = 72,585/x
3. Step 3: Cross multiply
   32,933x = 72,585 × 72,585
4. Step 4: Simplify right side
   32,933x = 5,268,582,225
5. Step 5: Solve for x
   x = 5,268,582,225/32,933
6. Step 6: Final answer
   x = 159,978.81