Finding the Third Proportional to 2,896 and 4,158

Step by Step Solution

1. Step 1: Write the proportion equation
   2,896 : 4,158 = 4,158 : x
2. Step 2: Convert to fraction form
   2,896/4,158 = 4,158/x
3. Step 3: Cross multiply
   2,896x = 4,158 × 4,158
4. Step 4: Simplify right side
   2,896x = 17,288,964
5. Step 5: Solve for x
   x = 17,288,964/2,896
6. Step 6: Final answer
   x = 5,969.95