Finding the Third Proportional to 13,114 and 19,666

Step by Step Solution

1. Step 1: Write the proportion equation
   13,114 : 19,666 = 19,666 : x
2. Step 2: Convert to fraction form
   13,114/19,666 = 19,666/x
3. Step 3: Cross multiply
   13,114x = 19,666 × 19,666
4. Step 4: Simplify right side
   13,114x = 386,751,556
5. Step 5: Solve for x
   x = 386,751,556/13,114
6. Step 6: Final answer
   x = 29,491.50