Finding the Third Proportional to 6,906 and 10,566

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 10,566 = 10,566 : x
2. Step 2: Convert to fraction form
   6,906/10,566 = 10,566/x
3. Step 3: Cross multiply
   6,906x = 10,566 × 10,566
4. Step 4: Simplify right side
   6,906x = 111,640,356
5. Step 5: Solve for x
   x = 111,640,356/6,906
6. Step 6: Final answer
   x = 16,165.70