Finding the Third Proportional to 2,749.50 and 4,427.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,749.50 : 4,427.06 = 4,427.06 : x
2. Step 2: Convert to fraction form
   2,749.50/4,427.06 = 4,427.06/x
3. Step 3: Cross multiply
   2,749.50x = 4,427.06 × 4,427.06
4. Step 4: Simplify right side
   2,749.50x = 19,598,882.38
5. Step 5: Solve for x
   x = 19,598,882.38/2,749.50
6. Step 6: Final answer
   x = 7,128.16