Finding the Third Proportional to 6,816 and 12,606

Step by Step Solution

1. Step 1: Write the proportion equation
   6,816 : 12,606 = 12,606 : x
2. Step 2: Convert to fraction form
   6,816/12,606 = 12,606/x
3. Step 3: Cross multiply
   6,816x = 12,606 × 12,606
4. Step 4: Simplify right side
   6,816x = 158,911,236
5. Step 5: Solve for x
   x = 158,911,236/6,816
6. Step 6: Final answer
   x = 23,314.44