Finding the Third Proportional to 2,176.88 and 4,583.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,176.88 : 4,583.25 = 4,583.25 : x
2. Step 2: Convert to fraction form
   2,176.88/4,583.25 = 4,583.25/x
3. Step 3: Cross multiply
   2,176.88x = 4,583.25 × 4,583.25
4. Step 4: Simplify right side
   2,176.88x = 21,006,180.56
5. Step 5: Solve for x
   x = 21,006,180.56/2,176.88
6. Step 6: Final answer
   x = 9,649.70