Finding the Third Proportional to 7,816 and 10,412

Step by Step Solution

1. Step 1: Write the proportion equation
   7,816 : 10,412 = 10,412 : x
2. Step 2: Convert to fraction form
   7,816/10,412 = 10,412/x
3. Step 3: Cross multiply
   7,816x = 10,412 × 10,412
4. Step 4: Simplify right side
   7,816x = 108,409,744
5. Step 5: Solve for x
   x = 108,409,744/7,816
6. Step 6: Final answer
   x = 13,870.23