Finding the Third Proportional to 505 and 1,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   505 : 1,007.50 = 1,007.50 : x
2. Step 2: Convert to fraction form
   505/1,007.50 = 1,007.50/x
3. Step 3: Cross multiply
   505x = 1,007.50 × 1,007.50
4. Step 4: Simplify right side
   505x = 1,015,056.25
5. Step 5: Solve for x
   x = 1,015,056.25/505
6. Step 6: Final answer
   x = 2,010.01