Finding the Third Proportional to 32,919 and 72,082

Step by Step Solution

1. Step 1: Write the proportion equation
   32,919 : 72,082 = 72,082 : x
2. Step 2: Convert to fraction form
   32,919/72,082 = 72,082/x
3. Step 3: Cross multiply
   32,919x = 72,082 × 72,082
4. Step 4: Simplify right side
   32,919x = 5,195,814,724
5. Step 5: Solve for x
   x = 5,195,814,724/32,919
6. Step 6: Final answer
   x = 157,836.35