Finding the Third Proportional to 3,182.06 and 3,465.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,182.06 : 3,465.56 = 3,465.56 : x
2. Step 2: Convert to fraction form
   3,182.06/3,465.56 = 3,465.56/x
3. Step 3: Cross multiply
   3,182.06x = 3,465.56 × 3,465.56
4. Step 4: Simplify right side
   3,182.06x = 12,010,123.44
5. Step 5: Solve for x
   x = 12,010,123.44/3,182.06
6. Step 6: Final answer
   x = 3,774.32