Finding the Third Proportional to 787.50 and 1,127.25

Step by Step Solution

1. Step 1: Write the proportion equation
   787.50 : 1,127.25 = 1,127.25 : x
2. Step 2: Convert to fraction form
   787.50/1,127.25 = 1,127.25/x
3. Step 3: Cross multiply
   787.50x = 1,127.25 × 1,127.25
4. Step 4: Simplify right side
   787.50x = 1,270,692.56
5. Step 5: Solve for x
   x = 1,270,692.56/787.50
6. Step 6: Final answer
   x = 1,613.58