Finding the Third Proportional to 13,469 and 21,184

Step by Step Solution

1. Step 1: Write the proportion equation
   13,469 : 21,184 = 21,184 : x
2. Step 2: Convert to fraction form
   13,469/21,184 = 21,184/x
3. Step 3: Cross multiply
   13,469x = 21,184 × 21,184
4. Step 4: Simplify right side
   13,469x = 448,761,856
5. Step 5: Solve for x
   x = 448,761,856/13,469
6. Step 6: Final answer
   x = 33,318.13