Finding the Third Proportional to 1,402 and 1,570

Step by Step Solution

1. Step 1: Write the proportion equation
   1,402 : 1,570 = 1,570 : x
2. Step 2: Convert to fraction form
   1,402/1,570 = 1,570/x
3. Step 3: Cross multiply
   1,402x = 1,570 × 1,570
4. Step 4: Simplify right side
   1,402x = 2,464,900
5. Step 5: Solve for x
   x = 2,464,900/1,402
6. Step 6: Final answer
   x = 1,758.13