Finding the Third Proportional to 2,317.50 and 4,788.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,317.50 : 4,788.75 = 4,788.75 : x
2. Step 2: Convert to fraction form
   2,317.50/4,788.75 = 4,788.75/x
3. Step 3: Cross multiply
   2,317.50x = 4,788.75 × 4,788.75
4. Step 4: Simplify right side
   2,317.50x = 22,932,126.56
5. Step 5: Solve for x
   x = 22,932,126.56/2,317.50
6. Step 6: Final answer
   x = 9,895.20