Finding the Third Proportional to 13,000 and 30,670

Step by Step Solution

1. Step 1: Write the proportion equation
   13,000 : 30,670 = 30,670 : x
2. Step 2: Convert to fraction form
   13,000/30,670 = 30,670/x
3. Step 3: Cross multiply
   13,000x = 30,670 × 30,670
4. Step 4: Simplify right side
   13,000x = 940,648,900
5. Step 5: Solve for x
   x = 940,648,900/13,000
6. Step 6: Final answer
   x = 72,357.61