Finding the Third Proportional to 10,160 and 21,184

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160 : 21,184 = 21,184 : x
2. Step 2: Convert to fraction form
   10,160/21,184 = 21,184/x
3. Step 3: Cross multiply
   10,160x = 21,184 × 21,184
4. Step 4: Simplify right side
   10,160x = 448,761,856
5. Step 5: Solve for x
   x = 448,761,856/10,160
6. Step 6: Final answer
   x = 44,169.47