Finding the Third Proportional to 9,680 and 21,184

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680 : 21,184 = 21,184 : x
2. Step 2: Convert to fraction form
   9,680/21,184 = 21,184/x
3. Step 3: Cross multiply
   9,680x = 21,184 × 21,184
4. Step 4: Simplify right side
   9,680x = 448,761,856
5. Step 5: Solve for x
   x = 448,761,856/9,680
6. Step 6: Final answer
   x = 46,359.70