Finding the Third Proportional to 6,929 and 16,188

Step by Step Solution

1. Step 1: Write the proportion equation
   6,929 : 16,188 = 16,188 : x
2. Step 2: Convert to fraction form
   6,929/16,188 = 16,188/x
3. Step 3: Cross multiply
   6,929x = 16,188 × 16,188
4. Step 4: Simplify right side
   6,929x = 262,051,344
5. Step 5: Solve for x
   x = 262,051,344/6,929
6. Step 6: Final answer
   x = 37,819.50