Finding the Third Proportional to 1,762 and 3,488

Step by Step Solution

1. Step 1: Write the proportion equation
   1,762 : 3,488 = 3,488 : x
2. Step 2: Convert to fraction form
   1,762/3,488 = 3,488/x
3. Step 3: Cross multiply
   1,762x = 3,488 × 3,488
4. Step 4: Simplify right side
   1,762x = 12,166,144
5. Step 5: Solve for x
   x = 12,166,144/1,762
6. Step 6: Final answer
   x = 6,904.74