Finding the Third Proportional to 2,622.38 and 3,670.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,622.38 : 3,670.31 = 3,670.31 : x
2. Step 2: Convert to fraction form
   2,622.38/3,670.31 = 3,670.31/x
3. Step 3: Cross multiply
   2,622.38x = 3,670.31 × 3,670.31
4. Step 4: Simplify right side
   2,622.38x = 13,471,193.85
5. Step 5: Solve for x
   x = 13,471,193.85/2,622.38
6. Step 6: Final answer
   x = 5,137.02