Finding the Third Proportional to 14,832 and 21,184

Step by Step Solution

1. Step 1: Write the proportion equation
   14,832 : 21,184 = 21,184 : x
2. Step 2: Convert to fraction form
   14,832/21,184 = 21,184/x
3. Step 3: Cross multiply
   14,832x = 21,184 × 21,184
4. Step 4: Simplify right side
   14,832x = 448,761,856
5. Step 5: Solve for x
   x = 448,761,856/14,832
6. Step 6: Final answer
   x = 30,256.33