Finding the Third Proportional to 2,424 and 5,835

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424 : 5,835 = 5,835 : x
2. Step 2: Convert to fraction form
   2,424/5,835 = 5,835/x
3. Step 3: Cross multiply
   2,424x = 5,835 × 5,835
4. Step 4: Simplify right side
   2,424x = 34,047,225
5. Step 5: Solve for x
   x = 34,047,225/2,424
6. Step 6: Final answer
   x = 14,045.88