Finding the Third Proportional to 4,870 and 5,366

Step by Step Solution

1. Step 1: Write the proportion equation
   4,870 : 5,366 = 5,366 : x
2. Step 2: Convert to fraction form
   4,870/5,366 = 5,366/x
3. Step 3: Cross multiply
   4,870x = 5,366 × 5,366
4. Step 4: Simplify right side
   4,870x = 28,793,956
5. Step 5: Solve for x
   x = 28,793,956/4,870
6. Step 6: Final answer
   x = 5,912.52