Finding the Third Proportional to 33,311 and 71,563

Step by Step Solution

1. Step 1: Write the proportion equation
   33,311 : 71,563 = 71,563 : x
2. Step 2: Convert to fraction form
   33,311/71,563 = 71,563/x
3. Step 3: Cross multiply
   33,311x = 71,563 × 71,563
4. Step 4: Simplify right side
   33,311x = 5,121,262,969
5. Step 5: Solve for x
   x = 5,121,262,969/33,311
6. Step 6: Final answer
   x = 153,740.90