Finding the Third Proportional to 33,825 and 72,633

Step by Step Solution

1. Step 1: Write the proportion equation
   33,825 : 72,633 = 72,633 : x
2. Step 2: Convert to fraction form
   33,825/72,633 = 72,633/x
3. Step 3: Cross multiply
   33,825x = 72,633 × 72,633
4. Step 4: Simplify right side
   33,825x = 5,275,552,689
5. Step 5: Solve for x
   x = 5,275,552,689/33,825
6. Step 6: Final answer
   x = 155,966.08