Finding the Third Proportional to 503.75 and 1,025.38

Step by Step Solution

1. Step 1: Write the proportion equation
   503.75 : 1,025.38 = 1,025.38 : x
2. Step 2: Convert to fraction form
   503.75/1,025.38 = 1,025.38/x
3. Step 3: Cross multiply
   503.75x = 1,025.38 × 1,025.38
4. Step 4: Simplify right side
   503.75x = 1,051,393.89
5. Step 5: Solve for x
   x = 1,051,393.89/503.75
6. Step 6: Final answer
   x = 2,087.13