Finding the Third Proportional to 1,314 and 1,434

Step by Step Solution

1. Step 1: Write the proportion equation
   1,314 : 1,434 = 1,434 : x
2. Step 2: Convert to fraction form
   1,314/1,434 = 1,434/x
3. Step 3: Cross multiply
   1,314x = 1,434 × 1,434
4. Step 4: Simplify right side
   1,314x = 2,056,356
5. Step 5: Solve for x
   x = 2,056,356/1,314
6. Step 6: Final answer
   x = 1,564.96