Finding the Third Proportional to 5,820 and 12,732

Step by Step Solution

1. Step 1: Write the proportion equation
   5,820 : 12,732 = 12,732 : x
2. Step 2: Convert to fraction form
   5,820/12,732 = 12,732/x
3. Step 3: Cross multiply
   5,820x = 12,732 × 12,732
4. Step 4: Simplify right side
   5,820x = 162,103,824
5. Step 5: Solve for x
   x = 162,103,824/5,820
6. Step 6: Final answer
   x = 27,852.89