Finding the Third Proportional to 1,414.17 and 3,123.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.17 : 3,123.14 = 3,123.14 : x
2. Step 2: Convert to fraction form
   1,414.17/3,123.14 = 3,123.14/x
3. Step 3: Cross multiply
   1,414.17x = 3,123.14 × 3,123.14
4. Step 4: Simplify right side
   1,414.17x = 9,754,007.36
5. Step 5: Solve for x
   x = 9,754,007.36/1,414.17
6. Step 6: Final answer
   x = 6,897.33