Finding the Third Proportional to 33,468 and 72,766

Step by Step Solution

1. Step 1: Write the proportion equation
   33,468 : 72,766 = 72,766 : x
2. Step 2: Convert to fraction form
   33,468/72,766 = 72,766/x
3. Step 3: Cross multiply
   33,468x = 72,766 × 72,766
4. Step 4: Simplify right side
   33,468x = 5,294,890,756
5. Step 5: Solve for x
   x = 5,294,890,756/33,468
6. Step 6: Final answer
   x = 158,207.56