Finding the Third Proportional to 33,288 and 72,117

Step by Step Solution

1. Step 1: Write the proportion equation
   33,288 : 72,117 = 72,117 : x
2. Step 2: Convert to fraction form
   33,288/72,117 = 72,117/x
3. Step 3: Cross multiply
   33,288x = 72,117 × 72,117
4. Step 4: Simplify right side
   33,288x = 5,200,861,689
5. Step 5: Solve for x
   x = 5,200,861,689/33,288
6. Step 6: Final answer
   x = 156,238.33