Finding the Third Proportional to 2,362 and 3,664

Step by Step Solution

1. Step 1: Write the proportion equation
   2,362 : 3,664 = 3,664 : x
2. Step 2: Convert to fraction form
   2,362/3,664 = 3,664/x
3. Step 3: Cross multiply
   2,362x = 3,664 × 3,664
4. Step 4: Simplify right side
   2,362x = 13,424,896
5. Step 5: Solve for x
   x = 13,424,896/2,362
6. Step 6: Final answer
   x = 5,683.70