Finding the Third Proportional to 34,134 and 71,400

Step by Step Solution

1. Step 1: Write the proportion equation
   34,134 : 71,400 = 71,400 : x
2. Step 2: Convert to fraction form
   34,134/71,400 = 71,400/x
3. Step 3: Cross multiply
   34,134x = 71,400 × 71,400
4. Step 4: Simplify right side
   34,134x = 5,097,960,000
5. Step 5: Solve for x
   x = 5,097,960,000/34,134
6. Step 6: Final answer
   x = 149,351.38