Finding the Third Proportional to 1,296 and 1,406

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296 : 1,406 = 1,406 : x
2. Step 2: Convert to fraction form
   1,296/1,406 = 1,406/x
3. Step 3: Cross multiply
   1,296x = 1,406 × 1,406
4. Step 4: Simplify right side
   1,296x = 1,976,836
5. Step 5: Solve for x
   x = 1,976,836/1,296
6. Step 6: Final answer
   x = 1,525.34