Finding the Third Proportional to 2,315.81 and 3,493.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,315.81 : 3,493.69 = 3,493.69 : x
2. Step 2: Convert to fraction form
   2,315.81/3,493.69 = 3,493.69/x
3. Step 3: Cross multiply
   2,315.81x = 3,493.69 × 3,493.69
4. Step 4: Simplify right side
   2,315.81x = 12,205,852.35
5. Step 5: Solve for x
   x = 12,205,852.35/2,315.81
6. Step 6: Final answer
   x = 5,270.66