Finding the Third Proportional to 3,109.50 and 4,428.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,109.50 : 4,428.75 = 4,428.75 : x
2. Step 2: Convert to fraction form
   3,109.50/4,428.75 = 4,428.75/x
3. Step 3: Cross multiply
   3,109.50x = 4,428.75 × 4,428.75
4. Step 4: Simplify right side
   3,109.50x = 19,613,826.56
5. Step 5: Solve for x
   x = 19,613,826.56/3,109.50
6. Step 6: Final answer
   x = 6,307.71