Finding the Third Proportional to 1,211.63 and 1,745.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,211.63 : 1,745.30 = 1,745.30 : x
2. Step 2: Convert to fraction form
   1,211.63/1,745.30 = 1,745.30/x
3. Step 3: Cross multiply
   1,211.63x = 1,745.30 × 1,745.30
4. Step 4: Simplify right side
   1,211.63x = 3,046,061.18
5. Step 5: Solve for x
   x = 3,046,061.18/1,211.63
6. Step 6: Final answer
   x = 2,514.03