Finding the Third Proportional to 1,175.25 and 1,762.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,175.25 : 1,762.88 = 1,762.88 : x
2. Step 2: Convert to fraction form
   1,175.25/1,762.88 = 1,762.88/x
3. Step 3: Cross multiply
   1,175.25x = 1,762.88 × 1,762.88
4. Step 4: Simplify right side
   1,175.25x = 3,107,728.27
5. Step 5: Solve for x
   x = 3,107,728.27/1,175.25
6. Step 6: Final answer
   x = 2,644.31