Finding the Third Proportional to 1,561.78 and 2,223.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,561.78 : 2,223.07 = 2,223.07 : x
2. Step 2: Convert to fraction form
   1,561.78/2,223.07 = 2,223.07/x
3. Step 3: Cross multiply
   1,561.78x = 2,223.07 × 2,223.07
4. Step 4: Simplify right side
   1,561.78x = 4,942,041.61
5. Step 5: Solve for x
   x = 4,942,041.61/1,561.78
6. Step 6: Final answer
   x = 3,164.36