Finding the Third Proportional to 5,116.50 and 10,851.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116.50 : 10,851.75 = 10,851.75 : x
2. Step 2: Convert to fraction form
   5,116.50/10,851.75 = 10,851.75/x
3. Step 3: Cross multiply
   5,116.50x = 10,851.75 × 10,851.75
4. Step 4: Simplify right side
   5,116.50x = 117,760,478.06
5. Step 5: Solve for x
   x = 117,760,478.06/5,116.50
6. Step 6: Final answer
   x = 23,015.83