Finding the Third Proportional to 33,833 and 72,850

Step by Step Solution

1. Step 1: Write the proportion equation
   33,833 : 72,850 = 72,850 : x
2. Step 2: Convert to fraction form
   33,833/72,850 = 72,850/x
3. Step 3: Cross multiply
   33,833x = 72,850 × 72,850
4. Step 4: Simplify right side
   33,833x = 5,307,122,500
5. Step 5: Solve for x
   x = 5,307,122,500/33,833
6. Step 6: Final answer
   x = 156,862.31