Finding the Third Proportional to 5,764 and 13,712

Step by Step Solution

1. Step 1: Write the proportion equation
   5,764 : 13,712 = 13,712 : x
2. Step 2: Convert to fraction form
   5,764/13,712 = 13,712/x
3. Step 3: Cross multiply
   5,764x = 13,712 × 13,712
4. Step 4: Simplify right side
   5,764x = 188,018,944
5. Step 5: Solve for x
   x = 188,018,944/5,764
6. Step 6: Final answer
   x = 32,619.53