Finding the Third Proportional to 2,507.25 and 5,447.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,507.25 : 5,447.50 = 5,447.50 : x
2. Step 2: Convert to fraction form
   2,507.25/5,447.50 = 5,447.50/x
3. Step 3: Cross multiply
   2,507.25x = 5,447.50 × 5,447.50
4. Step 4: Simplify right side
   2,507.25x = 29,675,256.25
5. Step 5: Solve for x
   x = 29,675,256.25/2,507.25
6. Step 6: Final answer
   x = 11,835.78