Finding the Third Proportional to 1,197 and 1,747.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,197 : 1,747.88 = 1,747.88 : x
2. Step 2: Convert to fraction form
   1,197/1,747.88 = 1,747.88/x
3. Step 3: Cross multiply
   1,197x = 1,747.88 × 1,747.88
4. Step 4: Simplify right side
   1,197x = 3,055,067.02
5. Step 5: Solve for x
   x = 3,055,067.02/1,197
6. Step 6: Final answer
   x = 2,552.27