Finding the Third Proportional to 7,862.50 and 17,183.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,862.50 : 17,183.25 = 17,183.25 : x
2. Step 2: Convert to fraction form
   7,862.50/17,183.25 = 17,183.25/x
3. Step 3: Cross multiply
   7,862.50x = 17,183.25 × 17,183.25
4. Step 4: Simplify right side
   7,862.50x = 295,264,080.56
5. Step 5: Solve for x
   x = 295,264,080.56/7,862.50
6. Step 6: Final answer
   x = 37,553.46