Finding the Third Proportional to 914 and 1,463.25

Step by Step Solution

1. Step 1: Write the proportion equation
   914 : 1,463.25 = 1,463.25 : x
2. Step 2: Convert to fraction form
   914/1,463.25 = 1,463.25/x
3. Step 3: Cross multiply
   914x = 1,463.25 × 1,463.25
4. Step 4: Simplify right side
   914x = 2,141,100.56
5. Step 5: Solve for x
   x = 2,141,100.56/914
6. Step 6: Final answer
   x = 2,342.56