Finding the Third Proportional to 5,648 and 12,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 12,419.50 = 12,419.50 : x
2. Step 2: Convert to fraction form
   5,648/12,419.50 = 12,419.50/x
3. Step 3: Cross multiply
   5,648x = 12,419.50 × 12,419.50
4. Step 4: Simplify right side
   5,648x = 154,243,980.25
5. Step 5: Solve for x
   x = 154,243,980.25/5,648
6. Step 6: Final answer
   x = 27,309.49