Finding the Third Proportional to 2,648 and 5,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648 : 5,055.50 = 5,055.50 : x
2. Step 2: Convert to fraction form
   2,648/5,055.50 = 5,055.50/x
3. Step 3: Cross multiply
   2,648x = 5,055.50 × 5,055.50
4. Step 4: Simplify right side
   2,648x = 25,558,080.25
5. Step 5: Solve for x
   x = 25,558,080.25/2,648
6. Step 6: Final answer
   x = 9,651.84