Finding the Third Proportional to 2,372.50 and 5,053.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,372.50 : 5,053.75 = 5,053.75 : x
2. Step 2: Convert to fraction form
   2,372.50/5,053.75 = 5,053.75/x
3. Step 3: Cross multiply
   2,372.50x = 5,053.75 × 5,053.75
4. Step 4: Simplify right side
   2,372.50x = 25,540,389.06
5. Step 5: Solve for x
   x = 25,540,389.06/2,372.50
6. Step 6: Final answer
   x = 10,765.18