Finding the Third Proportional to 2,575.25 and 5,622.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,575.25 : 5,622.50 = 5,622.50 : x
2. Step 2: Convert to fraction form
   2,575.25/5,622.50 = 5,622.50/x
3. Step 3: Cross multiply
   2,575.25x = 5,622.50 × 5,622.50
4. Step 4: Simplify right side
   2,575.25x = 31,612,506.25
5. Step 5: Solve for x
   x = 31,612,506.25/2,575.25
6. Step 6: Final answer
   x = 12,275.51