Finding the Third Proportional to 5,578.73 and 7,649.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,578.73 : 7,649.72 = 7,649.72 : x
2. Step 2: Convert to fraction form
   5,578.73/7,649.72 = 7,649.72/x
3. Step 3: Cross multiply
   5,578.73x = 7,649.72 × 7,649.72
4. Step 4: Simplify right side
   5,578.73x = 58,518,196.95
5. Step 5: Solve for x
   x = 58,518,196.95/5,578.73
6. Step 6: Final answer
   x = 10,489.51