Finding the Third Proportional to 10,083.50 and 23,144.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.50 : 23,144.75 = 23,144.75 : x
2. Step 2: Convert to fraction form
   10,083.50/23,144.75 = 23,144.75/x
3. Step 3: Cross multiply
   10,083.50x = 23,144.75 × 23,144.75
4. Step 4: Simplify right side
   10,083.50x = 535,679,452.56
5. Step 5: Solve for x
   x = 535,679,452.56/10,083.50
6. Step 6: Final answer
   x = 53,124.36