Finding the Third Proportional to 5,648 and 12,080.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648 : 12,080.50 = 12,080.50 : x
2. Step 2: Convert to fraction form
   5,648/12,080.50 = 12,080.50/x
3. Step 3: Cross multiply
   5,648x = 12,080.50 × 12,080.50
4. Step 4: Simplify right side
   5,648x = 145,938,480.25
5. Step 5: Solve for x
   x = 145,938,480.25/5,648
6. Step 6: Final answer
   x = 25,838.97