Finding the Third Proportional to 33,399 and 71,400

Step by Step Solution

1. Step 1: Write the proportion equation
   33,399 : 71,400 = 71,400 : x
2. Step 2: Convert to fraction form
   33,399/71,400 = 71,400/x
3. Step 3: Cross multiply
   33,399x = 71,400 × 71,400
4. Step 4: Simplify right side
   33,399x = 5,097,960,000
5. Step 5: Solve for x
   x = 5,097,960,000/33,399
6. Step 6: Final answer
   x = 152,638.10