Finding the Third Proportional to 3,396.94 and 5,564.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,396.94 : 5,564.53 = 5,564.53 : x
2. Step 2: Convert to fraction form
   3,396.94/5,564.53 = 5,564.53/x
3. Step 3: Cross multiply
   3,396.94x = 5,564.53 × 5,564.53
4. Step 4: Simplify right side
   3,396.94x = 30,964,008.03
5. Step 5: Solve for x
   x = 30,964,008.03/3,396.94
6. Step 6: Final answer
   x = 9,115.27