Finding the Third Proportional to 415 and 1,127.50

Step by Step Solution

1. Step 1: Write the proportion equation
   415 : 1,127.50 = 1,127.50 : x
2. Step 2: Convert to fraction form
   415/1,127.50 = 1,127.50/x
3. Step 3: Cross multiply
   415x = 1,127.50 × 1,127.50
4. Step 4: Simplify right side
   415x = 1,271,256.25
5. Step 5: Solve for x
   x = 1,271,256.25/415
6. Step 6: Final answer
   x = 3,063.27