Finding the Third Proportional to 10,212 and 13,366

Step by Step Solution

1. Step 1: Write the proportion equation
   10,212 : 13,366 = 13,366 : x
2. Step 2: Convert to fraction form
   10,212/13,366 = 13,366/x
3. Step 3: Cross multiply
   10,212x = 13,366 × 13,366
4. Step 4: Simplify right side
   10,212x = 178,649,956
5. Step 5: Solve for x
   x = 178,649,956/10,212
6. Step 6: Final answer
   x = 17,494.12