Finding the Third Proportional to 33,102 and 67,662

Step by Step Solution

1. Step 1: Write the proportion equation
   33,102 : 67,662 = 67,662 : x
2. Step 2: Convert to fraction form
   33,102/67,662 = 67,662/x
3. Step 3: Cross multiply
   33,102x = 67,662 × 67,662
4. Step 4: Simplify right side
   33,102x = 4,578,146,244
5. Step 5: Solve for x
   x = 4,578,146,244/33,102
6. Step 6: Final answer
   x = 138,304.22