Finding the Third Proportional to 506 and 1,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   506 : 1,022.50 = 1,022.50 : x
2. Step 2: Convert to fraction form
   506/1,022.50 = 1,022.50/x
3. Step 3: Cross multiply
   506x = 1,022.50 × 1,022.50
4. Step 4: Simplify right side
   506x = 1,045,506.25
5. Step 5: Solve for x
   x = 1,045,506.25/506
6. Step 6: Final answer
   x = 2,066.22