Finding the Third Proportional to 5,906.25 and 8,024.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.25 : 8,024.88 = 8,024.88 : x
2. Step 2: Convert to fraction form
   5,906.25/8,024.88 = 8,024.88/x
3. Step 3: Cross multiply
   5,906.25x = 8,024.88 × 8,024.88
4. Step 4: Simplify right side
   5,906.25x = 64,398,618.77
5. Step 5: Solve for x
   x = 64,398,618.77/5,906.25
6. Step 6: Final answer
   x = 10,903.47