Finding the Third Proportional to 33,772 and 72,440

Step by Step Solution

1. Step 1: Write the proportion equation
   33,772 : 72,440 = 72,440 : x
2. Step 2: Convert to fraction form
   33,772/72,440 = 72,440/x
3. Step 3: Cross multiply
   33,772x = 72,440 × 72,440
4. Step 4: Simplify right side
   33,772x = 5,247,553,600
5. Step 5: Solve for x
   x = 5,247,553,600/33,772
6. Step 6: Final answer
   x = 155,381.78