Finding the Third Proportional to 33,314 and 72,280

Step by Step Solution

1. Step 1: Write the proportion equation
   33,314 : 72,280 = 72,280 : x
2. Step 2: Convert to fraction form
   33,314/72,280 = 72,280/x
3. Step 3: Cross multiply
   33,314x = 72,280 × 72,280
4. Step 4: Simplify right side
   33,314x = 5,224,398,400
5. Step 5: Solve for x
   x = 5,224,398,400/33,314
6. Step 6: Final answer
   x = 156,822.91