Finding the Third Proportional to 10,916 and 22,280

Step by Step Solution

1. Step 1: Write the proportion equation
   10,916 : 22,280 = 22,280 : x
2. Step 2: Convert to fraction form
   10,916/22,280 = 22,280/x
3. Step 3: Cross multiply
   10,916x = 22,280 × 22,280
4. Step 4: Simplify right side
   10,916x = 496,398,400
5. Step 5: Solve for x
   x = 496,398,400/10,916
6. Step 6: Final answer
   x = 45,474.39