Finding the Third Proportional to 10,185 and 22,284

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185 : 22,284 = 22,284 : x
2. Step 2: Convert to fraction form
   10,185/22,284 = 22,284/x
3. Step 3: Cross multiply
   10,185x = 22,284 × 22,284
4. Step 4: Simplify right side
   10,185x = 496,576,656
5. Step 5: Solve for x
   x = 496,576,656/10,185
6. Step 6: Final answer
   x = 48,755.69