Finding the Third Proportional to 1,572.86 and 3,223.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,572.86 : 3,223.55 = 3,223.55 : x
2. Step 2: Convert to fraction form
   1,572.86/3,223.55 = 3,223.55/x
3. Step 3: Cross multiply
   1,572.86x = 3,223.55 × 3,223.55
4. Step 4: Simplify right side
   1,572.86x = 10,391,254.46
5. Step 5: Solve for x
   x = 10,391,254.46/1,572.86
6. Step 6: Final answer
   x = 6,606.62