Finding the Third Proportional to 2,254 and 5,692

Step by Step Solution

1. Step 1: Write the proportion equation
   2,254 : 5,692 = 5,692 : x
2. Step 2: Convert to fraction form
   2,254/5,692 = 5,692/x
3. Step 3: Cross multiply
   2,254x = 5,692 × 5,692
4. Step 4: Simplify right side
   2,254x = 32,398,864
5. Step 5: Solve for x
   x = 32,398,864/2,254
6. Step 6: Final answer
   x = 14,373.94