Finding the Third Proportional to 10,298 and 22,478

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298 : 22,478 = 22,478 : x
2. Step 2: Convert to fraction form
   10,298/22,478 = 22,478/x
3. Step 3: Cross multiply
   10,298x = 22,478 × 22,478
4. Step 4: Simplify right side
   10,298x = 505,260,484
5. Step 5: Solve for x
   x = 505,260,484/10,298
6. Step 6: Final answer
   x = 49,063.94