Finding the Third Proportional to 6,166 and 13,468

Step by Step Solution

1. Step 1: Write the proportion equation
   6,166 : 13,468 = 13,468 : x
2. Step 2: Convert to fraction form
   6,166/13,468 = 13,468/x
3. Step 3: Cross multiply
   6,166x = 13,468 × 13,468
4. Step 4: Simplify right side
   6,166x = 181,387,024
5. Step 5: Solve for x
   x = 181,387,024/6,166
6. Step 6: Final answer
   x = 29,417.29