Finding the Third Proportional to 2,370.94 and 5,466.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,370.94 : 5,466.38 = 5,466.38 : x
2. Step 2: Convert to fraction form
   2,370.94/5,466.38 = 5,466.38/x
3. Step 3: Cross multiply
   2,370.94x = 5,466.38 × 5,466.38
4. Step 4: Simplify right side
   2,370.94x = 29,881,255.64
5. Step 5: Solve for x
   x = 29,881,255.64/2,370.94
6. Step 6: Final answer
   x = 12,603.14