Finding the Third Proportional to 1,468.88 and 2,014.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,468.88 : 2,014.31 = 2,014.31 : x
2. Step 2: Convert to fraction form
   1,468.88/2,014.31 = 2,014.31/x
3. Step 3: Cross multiply
   1,468.88x = 2,014.31 × 2,014.31
4. Step 4: Simplify right side
   1,468.88x = 4,057,454.85
5. Step 5: Solve for x
   x = 4,057,454.85/1,468.88
6. Step 6: Final answer
   x = 2,762.29