Finding the Third Proportional to 33,534 and 71,766

Step by Step Solution

1. Step 1: Write the proportion equation
   33,534 : 71,766 = 71,766 : x
2. Step 2: Convert to fraction form
   33,534/71,766 = 71,766/x
3. Step 3: Cross multiply
   33,534x = 71,766 × 71,766
4. Step 4: Simplify right side
   33,534x = 5,150,358,756
5. Step 5: Solve for x
   x = 5,150,358,756/33,534
6. Step 6: Final answer
   x = 153,586.17