Finding the Third Proportional to 12,200 and 17,630

Step by Step Solution

1. Step 1: Write the proportion equation
   12,200 : 17,630 = 17,630 : x
2. Step 2: Convert to fraction form
   12,200/17,630 = 17,630/x
3. Step 3: Cross multiply
   12,200x = 17,630 × 17,630
4. Step 4: Simplify right side
   12,200x = 310,816,900
5. Step 5: Solve for x
   x = 310,816,900/12,200
6. Step 6: Final answer
   x = 25,476.80