Finding the Third Proportional to 32,833 and 72,686

Step by Step Solution

1. Step 1: Write the proportion equation
   32,833 : 72,686 = 72,686 : x
2. Step 2: Convert to fraction form
   32,833/72,686 = 72,686/x
3. Step 3: Cross multiply
   32,833x = 72,686 × 72,686
4. Step 4: Simplify right side
   32,833x = 5,283,254,596
5. Step 5: Solve for x
   x = 5,283,254,596/32,833
6. Step 6: Final answer
   x = 160,912.94