Finding the Third Proportional to 2,513.75 and 4,022.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,513.75 : 4,022.63 = 4,022.63 : x
2. Step 2: Convert to fraction form
   2,513.75/4,022.63 = 4,022.63/x
3. Step 3: Cross multiply
   2,513.75x = 4,022.63 × 4,022.63
4. Step 4: Simplify right side
   2,513.75x = 16,181,511.89
5. Step 5: Solve for x
   x = 16,181,511.89/2,513.75
6. Step 6: Final answer
   x = 6,437.20