Finding the Third Proportional to 10,920 and 22,298

Step by Step Solution

1. Step 1: Write the proportion equation
   10,920 : 22,298 = 22,298 : x
2. Step 2: Convert to fraction form
   10,920/22,298 = 22,298/x
3. Step 3: Cross multiply
   10,920x = 22,298 × 22,298
4. Step 4: Simplify right side
   10,920x = 497,200,804
5. Step 5: Solve for x
   x = 497,200,804/10,920
6. Step 6: Final answer
   x = 45,531.21