Finding the Third Proportional to 1,522 and 2,074

Step by Step Solution

1. Step 1: Write the proportion equation
   1,522 : 2,074 = 2,074 : x
2. Step 2: Convert to fraction form
   1,522/2,074 = 2,074/x
3. Step 3: Cross multiply
   1,522x = 2,074 × 2,074
4. Step 4: Simplify right side
   1,522x = 4,301,476
5. Step 5: Solve for x
   x = 4,301,476/1,522
6. Step 6: Final answer
   x = 2,826.20