Finding the Third Proportional to 10,505 and 23,083

Step by Step Solution

1. Step 1: Write the proportion equation
   10,505 : 23,083 = 23,083 : x
2. Step 2: Convert to fraction form
   10,505/23,083 = 23,083/x
3. Step 3: Cross multiply
   10,505x = 23,083 × 23,083
4. Step 4: Simplify right side
   10,505x = 532,824,889
5. Step 5: Solve for x
   x = 532,824,889/10,505
6. Step 6: Final answer
   x = 50,721.07