Finding the Third Proportional to 2,320 and 3,732

Step by Step Solution

1. Step 1: Write the proportion equation
   2,320 : 3,732 = 3,732 : x
2. Step 2: Convert to fraction form
   2,320/3,732 = 3,732/x
3. Step 3: Cross multiply
   2,320x = 3,732 × 3,732
4. Step 4: Simplify right side
   2,320x = 13,927,824
5. Step 5: Solve for x
   x = 13,927,824/2,320
6. Step 6: Final answer
   x = 6,003.37