Finding the Third Proportional to 1,461.38 and 3,196.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.38 : 3,196.69 = 3,196.69 : x
2. Step 2: Convert to fraction form
   1,461.38/3,196.69 = 3,196.69/x
3. Step 3: Cross multiply
   1,461.38x = 3,196.69 × 3,196.69
4. Step 4: Simplify right side
   1,461.38x = 10,218,810.97
5. Step 5: Solve for x
   x = 10,218,810.97/1,461.38
6. Step 6: Final answer
   x = 6,992.60