Finding the Third Proportional to 1,115.63 and 1,749.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,115.63 : 1,749.56 = 1,749.56 : x
2. Step 2: Convert to fraction form
   1,115.63/1,749.56 = 1,749.56/x
3. Step 3: Cross multiply
   1,115.63x = 1,749.56 × 1,749.56
4. Step 4: Simplify right side
   1,115.63x = 3,060,968.94
5. Step 5: Solve for x
   x = 3,060,968.94/1,115.63
6. Step 6: Final answer
   x = 2,743.73