Finding the Third Proportional to 3,142.55 and 4,322.74

Step by Step Solution

1. Step 1: Write the proportion equation
   3,142.55 : 4,322.74 = 4,322.74 : x
2. Step 2: Convert to fraction form
   3,142.55/4,322.74 = 4,322.74/x
3. Step 3: Cross multiply
   3,142.55x = 4,322.74 × 4,322.74
4. Step 4: Simplify right side
   3,142.55x = 18,686,100.02
5. Step 5: Solve for x
   x = 18,686,100.02/3,142.55
6. Step 6: Final answer
   x = 5,946.16