Finding the Third Proportional to 1,497.66 and 3,196.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,497.66 : 3,196.55 = 3,196.55 : x
2. Step 2: Convert to fraction form
   1,497.66/3,196.55 = 3,196.55/x
3. Step 3: Cross multiply
   1,497.66x = 3,196.55 × 3,196.55
4. Step 4: Simplify right side
   1,497.66x = 10,217,911.92
5. Step 5: Solve for x
   x = 10,217,911.92/1,497.66
6. Step 6: Final answer
   x = 6,822.60