Finding the Third Proportional to 2,136 and 4,674

Step by Step Solution

1. Step 1: Write the proportion equation
   2,136 : 4,674 = 4,674 : x
2. Step 2: Convert to fraction form
   2,136/4,674 = 4,674/x
3. Step 3: Cross multiply
   2,136x = 4,674 × 4,674
4. Step 4: Simplify right side
   2,136x = 21,846,276
5. Step 5: Solve for x
   x = 21,846,276/2,136
6. Step 6: Final answer
   x = 10,227.66