Finding the Third Proportional to 33,101 and 72,034

Step by Step Solution

1. Step 1: Write the proportion equation
   33,101 : 72,034 = 72,034 : x
2. Step 2: Convert to fraction form
   33,101/72,034 = 72,034/x
3. Step 3: Cross multiply
   33,101x = 72,034 × 72,034
4. Step 4: Simplify right side
   33,101x = 5,188,897,156
5. Step 5: Solve for x
   x = 5,188,897,156/33,101
6. Step 6: Final answer
   x = 156,759.53