Finding the Third Proportional to 3,420.56 and 5,152.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,420.56 : 5,152.78 = 5,152.78 : x
2. Step 2: Convert to fraction form
   3,420.56/5,152.78 = 5,152.78/x
3. Step 3: Cross multiply
   3,420.56x = 5,152.78 × 5,152.78
4. Step 4: Simplify right side
   3,420.56x = 26,551,154.61
5. Step 5: Solve for x
   x = 26,551,154.61/3,420.56
6. Step 6: Final answer
   x = 7,762.22