Finding the Third Proportional to 12,196 and 19,630

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196 : 19,630 = 19,630 : x
2. Step 2: Convert to fraction form
   12,196/19,630 = 19,630/x
3. Step 3: Cross multiply
   12,196x = 19,630 × 19,630
4. Step 4: Simplify right side
   12,196x = 385,336,900
5. Step 5: Solve for x
   x = 385,336,900/12,196
6. Step 6: Final answer
   x = 31,595.35