Finding the Third Proportional to 5,906.50 and 8,025.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.50 : 8,025.25 = 8,025.25 : x
2. Step 2: Convert to fraction form
   5,906.50/8,025.25 = 8,025.25/x
3. Step 3: Cross multiply
   5,906.50x = 8,025.25 × 8,025.25
4. Step 4: Simplify right side
   5,906.50x = 64,404,637.56
5. Step 5: Solve for x
   x = 64,404,637.56/5,906.50
6. Step 6: Final answer
   x = 10,904.03