Finding the Third Proportional to 10,298 and 22,195

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298 : 22,195 = 22,195 : x
2. Step 2: Convert to fraction form
   10,298/22,195 = 22,195/x
3. Step 3: Cross multiply
   10,298x = 22,195 × 22,195
4. Step 4: Simplify right side
   10,298x = 492,618,025
5. Step 5: Solve for x
   x = 492,618,025/10,298
6. Step 6: Final answer
   x = 47,836.28