Finding the Third Proportional to 5,648 and 10,972

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 10,972 = 10,972 : x
2. Step 2: Convert to fraction form
   5,648/10,972 = 10,972/x
3. Step 3: Cross multiply
   5,648x = 10,972 × 10,972
4. Step 4: Simplify right side
   5,648x = 120,384,784
5. Step 5: Solve for x
   x = 120,384,784/5,648
6. Step 6: Final answer
   x = 21,314.59