Finding the Third Proportional to 6,164 and 13,462

Step by Step Solution

1. Step 1: Write the proportion equation
   6,164 : 13,462 = 13,462 : x
2. Step 2: Convert to fraction form
   6,164/13,462 = 13,462/x
3. Step 3: Cross multiply
   6,164x = 13,462 × 13,462
4. Step 4: Simplify right side
   6,164x = 181,225,444
5. Step 5: Solve for x
   x = 181,225,444/6,164
6. Step 6: Final answer
   x = 29,400.62