Finding the Third Proportional to 1,410.38 and 3,112.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.38 : 3,112.69 = 3,112.69 : x
2. Step 2: Convert to fraction form
   1,410.38/3,112.69 = 3,112.69/x
3. Step 3: Cross multiply
   1,410.38x = 3,112.69 × 3,112.69
4. Step 4: Simplify right side
   1,410.38x = 9,688,823.47
5. Step 5: Solve for x
   x = 9,688,823.47/1,410.38
6. Step 6: Final answer
   x = 6,869.68