Finding the Third Proportional to 6,156 and 13,466

Step by Step Solution

1. Step 1: Write the proportion equation
   6,156 : 13,466 = 13,466 : x
2. Step 2: Convert to fraction form
   6,156/13,466 = 13,466/x
3. Step 3: Cross multiply
   6,156x = 13,466 × 13,466
4. Step 4: Simplify right side
   6,156x = 181,333,156
5. Step 5: Solve for x
   x = 181,333,156/6,156
6. Step 6: Final answer
   x = 29,456.33