Finding the Third Proportional to 9,788 and 13,214

Step by Step Solution

1. Step 1: Write the proportion equation
   9,788 : 13,214 = 13,214 : x
2. Step 2: Convert to fraction form
   9,788/13,214 = 13,214/x
3. Step 3: Cross multiply
   9,788x = 13,214 × 13,214
4. Step 4: Simplify right side
   9,788x = 174,609,796
5. Step 5: Solve for x
   x = 174,609,796/9,788
6. Step 6: Final answer
   x = 17,839.17