Finding the Third Proportional to 33,102 and 72,018

Step by Step Solution

1. Step 1: Write the proportion equation
   33,102 : 72,018 = 72,018 : x
2. Step 2: Convert to fraction form
   33,102/72,018 = 72,018/x
3. Step 3: Cross multiply
   33,102x = 72,018 × 72,018
4. Step 4: Simplify right side
   33,102x = 5,186,592,324
5. Step 5: Solve for x
   x = 5,186,592,324/33,102
6. Step 6: Final answer
   x = 156,685.16