Finding the Third Proportional to 3,506 and 7,662

Step by Step Solution

1. Step 1: Write the proportion equation
   3,506 : 7,662 = 7,662 : x
2. Step 2: Convert to fraction form
   3,506/7,662 = 7,662/x
3. Step 3: Cross multiply
   3,506x = 7,662 × 7,662
4. Step 4: Simplify right side
   3,506x = 58,706,244
5. Step 5: Solve for x
   x = 58,706,244/3,506
6. Step 6: Final answer
   x = 16,744.51