Finding the Third Proportional to 6,116 and 13,404

Step by Step Solution

1. Step 1: Write the proportion equation
   6,116 : 13,404 = 13,404 : x
2. Step 2: Convert to fraction form
   6,116/13,404 = 13,404/x
3. Step 3: Cross multiply
   6,116x = 13,404 × 13,404
4. Step 4: Simplify right side
   6,116x = 179,667,216
5. Step 5: Solve for x
   x = 179,667,216/6,116
6. Step 6: Final answer
   x = 29,376.59