Finding the Third Proportional to 1,368.14 and 3,002.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,368.14 : 3,002.34 = 3,002.34 : x
2. Step 2: Convert to fraction form
   1,368.14/3,002.34 = 3,002.34/x
3. Step 3: Cross multiply
   1,368.14x = 3,002.34 × 3,002.34
4. Step 4: Simplify right side
   1,368.14x = 9,014,067.99
5. Step 5: Solve for x
   x = 9,014,067.99/1,368.14
6. Step 6: Final answer
   x = 6,588.55