Finding the Third Proportional to 33,772 and 72,782

Step by Step Solution

1. Step 1: Write the proportion equation
   33,772 : 72,782 = 72,782 : x
2. Step 2: Convert to fraction form
   33,772/72,782 = 72,782/x
3. Step 3: Cross multiply
   33,772x = 72,782 × 72,782
4. Step 4: Simplify right side
   33,772x = 5,297,219,524
5. Step 5: Solve for x
   x = 5,297,219,524/33,772
6. Step 6: Final answer
   x = 156,852.41