Finding the Third Proportional to 33,772 and 72,740

Step by Step Solution

1. Step 1: Write the proportion equation
   33,772 : 72,740 = 72,740 : x
2. Step 2: Convert to fraction form
   33,772/72,740 = 72,740/x
3. Step 3: Cross multiply
   33,772x = 72,740 × 72,740
4. Step 4: Simplify right side
   33,772x = 5,291,107,600
5. Step 5: Solve for x
   x = 5,291,107,600/33,772
6. Step 6: Final answer
   x = 156,671.43