Finding the Third Proportional to 1,517.50 and 2,276.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,517.50 : 2,276.50 = 2,276.50 : x
2. Step 2: Convert to fraction form
   1,517.50/2,276.50 = 2,276.50/x
3. Step 3: Cross multiply
   1,517.50x = 2,276.50 × 2,276.50
4. Step 4: Simplify right side
   1,517.50x = 5,182,452.25
5. Step 5: Solve for x
   x = 5,182,452.25/1,517.50
6. Step 6: Final answer
   x = 3,415.13