Finding the Third Proportional to 10,096.25 and 21,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,096.25 : 21,916 = 21,916 : x
2. Step 2: Convert to fraction form
   10,096.25/21,916 = 21,916/x
3. Step 3: Cross multiply
   10,096.25x = 21,916 × 21,916
4. Step 4: Simplify right side
   10,096.25x = 480,311,056
5. Step 5: Solve for x
   x = 480,311,056/10,096.25
6. Step 6: Final answer
   x = 47,573.21