Finding the Third Proportional to 2,749.50 and 4,426.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,749.50 : 4,426.88 = 4,426.88 : x
2. Step 2: Convert to fraction form
   2,749.50/4,426.88 = 4,426.88/x
3. Step 3: Cross multiply
   2,749.50x = 4,426.88 × 4,426.88
4. Step 4: Simplify right side
   2,749.50x = 19,597,222.27
5. Step 5: Solve for x
   x = 19,597,222.27/2,749.50
6. Step 6: Final answer
   x = 7,127.56