Finding the Third Proportional to 1,749.09 and 4,752.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,749.09 : 4,752.42 = 4,752.42 : x
2. Step 2: Convert to fraction form
   1,749.09/4,752.42 = 4,752.42/x
3. Step 3: Cross multiply
   1,749.09x = 4,752.42 × 4,752.42
4. Step 4: Simplify right side
   1,749.09x = 22,585,513.68
5. Step 5: Solve for x
   x = 22,585,513.68/1,749.09
6. Step 6: Final answer
   x = 12,912.69