Finding the Third Proportional to 51,182 and 71,670

Step by Step Solution

1. Step 1: Write the proportion equation
   51,182 : 71,670 = 71,670 : x
2. Step 2: Convert to fraction form
   51,182/71,670 = 71,670/x
3. Step 3: Cross multiply
   51,182x = 71,670 × 71,670
4. Step 4: Simplify right side
   51,182x = 5,136,588,900
5. Step 5: Solve for x
   x = 5,136,588,900/51,182
6. Step 6: Final answer
   x = 100,359.28