Finding the Third Proportional to 4,848 and 13,184

Step by Step Solution

1. Step 1: Write the proportion equation
   4,848 : 13,184 = 13,184 : x
2. Step 2: Convert to fraction form
   4,848/13,184 = 13,184/x
3. Step 3: Cross multiply
   4,848x = 13,184 × 13,184
4. Step 4: Simplify right side
   4,848x = 173,817,856
5. Step 5: Solve for x
   x = 173,817,856/4,848
6. Step 6: Final answer
   x = 35,853.52