Finding the Third Proportional to 33,124 and 72,072

Step by Step Solution

1. Step 1: Write the proportion equation
   33,124 : 72,072 = 72,072 : x
2. Step 2: Convert to fraction form
   33,124/72,072 = 72,072/x
3. Step 3: Cross multiply
   33,124x = 72,072 × 72,072
4. Step 4: Simplify right side
   33,124x = 5,194,373,184
5. Step 5: Solve for x
   x = 5,194,373,184/33,124
6. Step 6: Final answer
   x = 156,816