Finding the Third Proportional to 5,846 and 9,404

Step by Step Solution

1. Step 1: Write the proportion equation
   5,846 : 9,404 = 9,404 : x
2. Step 2: Convert to fraction form
   5,846/9,404 = 9,404/x
3. Step 3: Cross multiply
   5,846x = 9,404 × 9,404
4. Step 4: Simplify right side
   5,846x = 88,435,216
5. Step 5: Solve for x
   x = 88,435,216/5,846
6. Step 6: Final answer
   x = 15,127.47