Finding the Third Proportional to 1,516.85 and 3,076.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,516.85 : 3,076.42 = 3,076.42 : x
2. Step 2: Convert to fraction form
   1,516.85/3,076.42 = 3,076.42/x
3. Step 3: Cross multiply
   1,516.85x = 3,076.42 × 3,076.42
4. Step 4: Simplify right side
   1,516.85x = 9,464,347.52
5. Step 5: Solve for x
   x = 9,464,347.52/1,516.85
6. Step 6: Final answer
   x = 6,239.47