Finding the Third Proportional to 3,814 and 5,896

Step by Step Solution

1. Step 1: Write the proportion equation
   3,814 : 5,896 = 5,896 : x
2. Step 2: Convert to fraction form
   3,814/5,896 = 5,896/x
3. Step 3: Cross multiply
   3,814x = 5,896 × 5,896
4. Step 4: Simplify right side
   3,814x = 34,762,816
5. Step 5: Solve for x
   x = 34,762,816/3,814
6. Step 6: Final answer
   x = 9,114.53