Finding the Third Proportional to 19,600 and 21,184

Step by Step Solution

1. Step 1: Write the proportion equation
   19,600 : 21,184 = 21,184 : x
2. Step 2: Convert to fraction form
   19,600/21,184 = 21,184/x
3. Step 3: Cross multiply
   19,600x = 21,184 × 21,184
4. Step 4: Simplify right side
   19,600x = 448,761,856
5. Step 5: Solve for x
   x = 448,761,856/19,600
6. Step 6: Final answer
   x = 22,896.01