Finding the Third Proportional to 1,017 and 1,515.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017 : 1,515.94 = 1,515.94 : x
2. Step 2: Convert to fraction form
   1,017/1,515.94 = 1,515.94/x
3. Step 3: Cross multiply
   1,017x = 1,515.94 × 1,515.94
4. Step 4: Simplify right side
   1,017x = 2,298,066.50
5. Step 5: Solve for x
   x = 2,298,066.50/1,017
6. Step 6: Final answer
   x = 2,259.65