Finding the Third Proportional to 1,298 and 1,468

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298 : 1,468 = 1,468 : x
2. Step 2: Convert to fraction form
   1,298/1,468 = 1,468/x
3. Step 3: Cross multiply
   1,298x = 1,468 × 1,468
4. Step 4: Simplify right side
   1,298x = 2,155,024
5. Step 5: Solve for x
   x = 2,155,024/1,298
6. Step 6: Final answer
   x = 1,660.27