Finding the Third Proportional to 33,416 and 71,280

Step by Step Solution

1. Step 1: Write the proportion equation
   33,416 : 71,280 = 71,280 : x
2. Step 2: Convert to fraction form
   33,416/71,280 = 71,280/x
3. Step 3: Cross multiply
   33,416x = 71,280 × 71,280
4. Step 4: Simplify right side
   33,416x = 5,080,838,400
5. Step 5: Solve for x
   x = 5,080,838,400/33,416
6. Step 6: Final answer
   x = 152,048.07