Finding the Third Proportional to 2,362.13 and 3,474.85

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362.13 : 3,474.85 = 3,474.85 : x
2. Step 2: Convert to fraction form
   2,362.13/3,474.85 = 3,474.85/x
3. Step 3: Cross multiply
   2,362.13x = 3,474.85 × 3,474.85
4. Step 4: Simplify right side
   2,362.13x = 12,074,600.17
5. Step 5: Solve for x
   x = 12,074,600.17/2,362.13
6. Step 6: Final answer
   x = 5,111.74