Finding the Third Proportional to 33,125 and 72,802

Step by Step Solution

1. Step 1: Write the proportion equation
   33,125 : 72,802 = 72,802 : x
2. Step 2: Convert to fraction form
   33,125/72,802 = 72,802/x
3. Step 3: Cross multiply
   33,125x = 72,802 × 72,802
4. Step 4: Simplify right side
   33,125x = 5,300,131,204
5. Step 5: Solve for x
   x = 5,300,131,204/33,125
6. Step 6: Final answer
   x = 160,003.96