Finding the Third Proportional to 32,833 and 72,019

Step by Step Solution

1. Step 1: Write the proportion equation
   32,833 : 72,019 = 72,019 : x
2. Step 2: Convert to fraction form
   32,833/72,019 = 72,019/x
3. Step 3: Cross multiply
   32,833x = 72,019 × 72,019
4. Step 4: Simplify right side
   32,833x = 5,186,736,361
5. Step 5: Solve for x
   x = 5,186,736,361/32,833
6. Step 6: Final answer
   x = 157,973.27