Finding the Third Proportional to 1,664 and 3,536

Step by Step Solution

1. Step 1: Write the proportion equation
   1,664 : 3,536 = 3,536 : x
2. Step 2: Convert to fraction form
   1,664/3,536 = 3,536/x
3. Step 3: Cross multiply
   1,664x = 3,536 × 3,536
4. Step 4: Simplify right side
   1,664x = 12,503,296
5. Step 5: Solve for x
   x = 12,503,296/1,664
6. Step 6: Final answer
   x = 7,514