Finding the Third Proportional to 5,874 and 13,848

Step by Step Solution

1. Step 1: Write the proportion equation
   5,874 : 13,848 = 13,848 : x
2. Step 2: Convert to fraction form
   5,874/13,848 = 13,848/x
3. Step 3: Cross multiply
   5,874x = 13,848 × 13,848
4. Step 4: Simplify right side
   5,874x = 191,767,104
5. Step 5: Solve for x
   x = 191,767,104/5,874
6. Step 6: Final answer
   x = 32,646.77