Finding the Third Proportional to 2,314.69 and 3,472.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.69 : 3,472.31 = 3,472.31 : x
2. Step 2: Convert to fraction form
   2,314.69/3,472.31 = 3,472.31/x
3. Step 3: Cross multiply
   2,314.69x = 3,472.31 × 3,472.31
4. Step 4: Simplify right side
   2,314.69x = 12,056,954.10
5. Step 5: Solve for x
   x = 12,056,954.10/2,314.69
6. Step 6: Final answer
   x = 5,208.89