Finding the Third Proportional to 1,564.50 and 3,401.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.50 : 3,401.06 = 3,401.06 : x
2. Step 2: Convert to fraction form
   1,564.50/3,401.06 = 3,401.06/x
3. Step 3: Cross multiply
   1,564.50x = 3,401.06 × 3,401.06
4. Step 4: Simplify right side
   1,564.50x = 11,567,226.13
5. Step 5: Solve for x
   x = 11,567,226.13/1,564.50
6. Step 6: Final answer
   x = 7,393.56