Finding the Third Proportional to 2,136.50 and 4,662

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136.50 : 4,662 = 4,662 : x
2. Step 2: Convert to fraction form
   2,136.50/4,662 = 4,662/x
3. Step 3: Cross multiply
   2,136.50x = 4,662 × 4,662
4. Step 4: Simplify right side
   2,136.50x = 21,734,244
5. Step 5: Solve for x
   x = 21,734,244/2,136.50
6. Step 6: Final answer
   x = 10,172.83