Finding the Third Proportional to 30,196 and 71,049

Step by Step Solution

1. Step 1: Write the proportion equation
   30,196 : 71,049 = 71,049 : x
2. Step 2: Convert to fraction form
   30,196/71,049 = 71,049/x
3. Step 3: Cross multiply
   30,196x = 71,049 × 71,049
4. Step 4: Simplify right side
   30,196x = 5,047,960,401
5. Step 5: Solve for x
   x = 5,047,960,401/30,196
6. Step 6: Final answer
   x = 167,173.15