Finding the Third Proportional to 6,806 and 14,429

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806 : 14,429 = 14,429 : x
2. Step 2: Convert to fraction form
   6,806/14,429 = 14,429/x
3. Step 3: Cross multiply
   6,806x = 14,429 × 14,429
4. Step 4: Simplify right side
   6,806x = 208,196,041
5. Step 5: Solve for x
   x = 208,196,041/6,806
6. Step 6: Final answer
   x = 30,590.07