Finding the Third Proportional to 38,019 and 83,670

Step by Step Solution

1. Step 1: Write the proportion equation
   38,019 : 83,670 = 83,670 : x
2. Step 2: Convert to fraction form
   38,019/83,670 = 83,670/x
3. Step 3: Cross multiply
   38,019x = 83,670 × 83,670
4. Step 4: Simplify right side
   38,019x = 7,000,668,900
5. Step 5: Solve for x
   x = 7,000,668,900/38,019
6. Step 6: Final answer
   x = 184,136.06