Finding the Third Proportional to 6,836 and 10,606

Step by Step Solution

1. Step 1: Write the proportion equation
   6,836 : 10,606 = 10,606 : x
2. Step 2: Convert to fraction form
   6,836/10,606 = 10,606/x
3. Step 3: Cross multiply
   6,836x = 10,606 × 10,606
4. Step 4: Simplify right side
   6,836x = 112,487,236
5. Step 5: Solve for x
   x = 112,487,236/6,836
6. Step 6: Final answer
   x = 16,455.13