Finding the Third Proportional to 33,101 and 72,882

Step by Step Solution

1. Step 1: Write the proportion equation
   33,101 : 72,882 = 72,882 : x
2. Step 2: Convert to fraction form
   33,101/72,882 = 72,882/x
3. Step 3: Cross multiply
   33,101x = 72,882 × 72,882
4. Step 4: Simplify right side
   33,101x = 5,311,785,924
5. Step 5: Solve for x
   x = 5,311,785,924/33,101
6. Step 6: Final answer
   x = 160,472.07