Finding the Third Proportional to 33,265 and 71,806

Step by Step Solution

1. Step 1: Write the proportion equation
   33,265 : 71,806 = 71,806 : x
2. Step 2: Convert to fraction form
   33,265/71,806 = 71,806/x
3. Step 3: Cross multiply
   33,265x = 71,806 × 71,806
4. Step 4: Simplify right side
   33,265x = 5,156,101,636
5. Step 5: Solve for x
   x = 5,156,101,636/33,265
6. Step 6: Final answer
   x = 155,000.80