Finding the Third Proportional to 33,280 and 72,812

Step by Step Solution

1. Step 1: Write the proportion equation
   33,280 : 72,812 = 72,812 : x
2. Step 2: Convert to fraction form
   33,280/72,812 = 72,812/x
3. Step 3: Cross multiply
   33,280x = 72,812 × 72,812
4. Step 4: Simplify right side
   33,280x = 5,301,587,344
5. Step 5: Solve for x
   x = 5,301,587,344/33,280
6. Step 6: Final answer
   x = 159,302.50