Finding the Third Proportional to 5,906.25 and 8,472.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,906.25 : 8,472.09 = 8,472.09 : x
2. Step 2: Convert to fraction form
   5,906.25/8,472.09 = 8,472.09/x
3. Step 3: Cross multiply
   5,906.25x = 8,472.09 × 8,472.09
4. Step 4: Simplify right side
   5,906.25x = 71,776,372.51
5. Step 5: Solve for x
   x = 71,776,372.51/5,906.25
6. Step 6: Final answer
   x = 12,152.61