Finding the Third Proportional to 5,804.25 and 12,649.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,804.25 : 12,649.88 = 12,649.88 : x
2. Step 2: Convert to fraction form
   5,804.25/12,649.88 = 12,649.88/x
3. Step 3: Cross multiply
   5,804.25x = 12,649.88 × 12,649.88
4. Step 4: Simplify right side
   5,804.25x = 160,019,337.52
5. Step 5: Solve for x
   x = 160,019,337.52/5,804.25
6. Step 6: Final answer
   x = 27,569.34