Finding the Third Proportional to 5,025.50 and 7,773.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,025.50 : 7,773.75 = 7,773.75 : x
2. Step 2: Convert to fraction form
   5,025.50/7,773.75 = 7,773.75/x
3. Step 3: Cross multiply
   5,025.50x = 7,773.75 × 7,773.75
4. Step 4: Simplify right side
   5,025.50x = 60,431,189.06
5. Step 5: Solve for x
   x = 60,431,189.06/5,025.50
6. Step 6: Final answer
   x = 12,024.91