Finding the Third Proportional to 10,820 and 23,284

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 23,284 = 23,284 : x
2. Step 2: Convert to fraction form
   10,820/23,284 = 23,284/x
3. Step 3: Cross multiply
   10,820x = 23,284 × 23,284
4. Step 4: Simplify right side
   10,820x = 542,144,656
5. Step 5: Solve for x
   x = 542,144,656/10,820
6. Step 6: Final answer
   x = 50,105.79