Finding the Third Proportional to 33,042 and 72,102

Step by Step Solution

1. Step 1: Write the proportion equation
   33,042 : 72,102 = 72,102 : x
2. Step 2: Convert to fraction form
   33,042/72,102 = 72,102/x
3. Step 3: Cross multiply
   33,042x = 72,102 × 72,102
4. Step 4: Simplify right side
   33,042x = 5,198,698,404
5. Step 5: Solve for x
   x = 5,198,698,404/33,042
6. Step 6: Final answer
   x = 157,336.07