Finding the Third Proportional to 12,196.50 and 17,829

Step by Step Solution

1. Step 1: Write the proportion equation
   12,196.50 : 17,829 = 17,829 : x
2. Step 2: Convert to fraction form
   12,196.50/17,829 = 17,829/x
3. Step 3: Cross multiply
   12,196.50x = 17,829 × 17,829
4. Step 4: Simplify right side
   12,196.50x = 317,873,241
5. Step 5: Solve for x
   x = 317,873,241/12,196.50
6. Step 6: Final answer
   x = 26,062.66