Finding the Third Proportional to 1,564.88 and 3,401.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.88 : 3,401.25 = 3,401.25 : x
2. Step 2: Convert to fraction form
   1,564.88/3,401.25 = 3,401.25/x
3. Step 3: Cross multiply
   1,564.88x = 3,401.25 × 3,401.25
4. Step 4: Simplify right side
   1,564.88x = 11,568,501.56
5. Step 5: Solve for x
   x = 11,568,501.56/1,564.88
6. Step 6: Final answer
   x = 7,392.60