Finding the Third Proportional to 4,902 and 5,298

Step by Step Solution

1. Step 1: Write the proportion equation
   4,902 : 5,298 = 5,298 : x
2. Step 2: Convert to fraction form
   4,902/5,298 = 5,298/x
3. Step 3: Cross multiply
   4,902x = 5,298 × 5,298
4. Step 4: Simplify right side
   4,902x = 28,068,804
5. Step 5: Solve for x
   x = 28,068,804/4,902
6. Step 6: Final answer
   x = 5,725.99