Finding the Third Proportional to 1,300 and 1,426

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300 : 1,426 = 1,426 : x
2. Step 2: Convert to fraction form
   1,300/1,426 = 1,426/x
3. Step 3: Cross multiply
   1,300x = 1,426 × 1,426
4. Step 4: Simplify right side
   1,300x = 2,033,476
5. Step 5: Solve for x
   x = 2,033,476/1,300
6. Step 6: Final answer
   x = 1,564.21