Finding the Third Proportional to 8,232 and 10,412

Step by Step Solution

1. Step 1: Write the proportion equation
   8,232 : 10,412 = 10,412 : x
2. Step 2: Convert to fraction form
   8,232/10,412 = 10,412/x
3. Step 3: Cross multiply
   8,232x = 10,412 × 10,412
4. Step 4: Simplify right side
   8,232x = 108,409,744
5. Step 5: Solve for x
   x = 108,409,744/8,232
6. Step 6: Final answer
   x = 13,169.31