Finding the Third Proportional to 2,112 and 3,751.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,112 : 3,751.50 = 3,751.50 : x
2. Step 2: Convert to fraction form
   2,112/3,751.50 = 3,751.50/x
3. Step 3: Cross multiply
   2,112x = 3,751.50 × 3,751.50
4. Step 4: Simplify right side
   2,112x = 14,073,752.25
5. Step 5: Solve for x
   x = 14,073,752.25/2,112
6. Step 6: Final answer
   x = 6,663.71