Finding the Third Proportional to 3,090.42 and 4,417.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,090.42 : 4,417.78 = 4,417.78 : x
2. Step 2: Convert to fraction form
   3,090.42/4,417.78 = 4,417.78/x
3. Step 3: Cross multiply
   3,090.42x = 4,417.78 × 4,417.78
4. Step 4: Simplify right side
   3,090.42x = 19,516,804.12
5. Step 5: Solve for x
   x = 19,516,804.12/3,090.42
6. Step 6: Final answer
   x = 6,315.26