Finding the Third Proportional to 10,196 and 22,024

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196 : 22,024 = 22,024 : x
2. Step 2: Convert to fraction form
   10,196/22,024 = 22,024/x
3. Step 3: Cross multiply
   10,196x = 22,024 × 22,024
4. Step 4: Simplify right side
   10,196x = 485,056,576
5. Step 5: Solve for x
   x = 485,056,576/10,196
6. Step 6: Final answer
   x = 47,573.22