Finding the Third Proportional to 1,782 and 3,522

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782 : 3,522 = 3,522 : x
2. Step 2: Convert to fraction form
   1,782/3,522 = 3,522/x
3. Step 3: Cross multiply
   1,782x = 3,522 × 3,522
4. Step 4: Simplify right side
   1,782x = 12,404,484
5. Step 5: Solve for x
   x = 12,404,484/1,782
6. Step 6: Final answer
   x = 6,960.99