Finding the Third Proportional to 6,169 and 12,850

Step by Step Solution

1. Step 1: Write the proportion equation
   6,169 : 12,850 = 12,850 : x
2. Step 2: Convert to fraction form
   6,169/12,850 = 12,850/x
3. Step 3: Cross multiply
   6,169x = 12,850 × 12,850
4. Step 4: Simplify right side
   6,169x = 165,122,500
5. Step 5: Solve for x
   x = 165,122,500/6,169
6. Step 6: Final answer
   x = 26,766.49