Finding the Third Proportional to 4,429.50 and 5,906.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,429.50 : 5,906.25 = 5,906.25 : x
2. Step 2: Convert to fraction form
   4,429.50/5,906.25 = 5,906.25/x
3. Step 3: Cross multiply
   4,429.50x = 5,906.25 × 5,906.25
4. Step 4: Simplify right side
   4,429.50x = 34,883,789.06
5. Step 5: Solve for x
   x = 34,883,789.06/4,429.50
6. Step 6: Final answer
   x = 7,875.33