Finding the Third Proportional to 13,580 and 17,670

Step by Step Solution

1. Step 1: Write the proportion equation
   13,580 : 17,670 = 17,670 : x
2. Step 2: Convert to fraction form
   13,580/17,670 = 17,670/x
3. Step 3: Cross multiply
   13,580x = 17,670 × 17,670
4. Step 4: Simplify right side
   13,580x = 312,228,900
5. Step 5: Solve for x
   x = 312,228,900/13,580
6. Step 6: Final answer
   x = 22,991.82