Finding the Third Proportional to 752 and 1,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   752 : 1,738.50 = 1,738.50 : x
2. Step 2: Convert to fraction form
   752/1,738.50 = 1,738.50/x
3. Step 3: Cross multiply
   752x = 1,738.50 × 1,738.50
4. Step 4: Simplify right side
   752x = 3,022,382.25
5. Step 5: Solve for x
   x = 3,022,382.25/752
6. Step 6: Final answer
   x = 4,019.13