Finding the Third Proportional to 4,477.50 and 5,778

Step by Step Solution

1. Step 1: Write the proportion equation
   4,477.50 : 5,778 = 5,778 : x
2. Step 2: Convert to fraction form
   4,477.50/5,778 = 5,778/x
3. Step 3: Cross multiply
   4,477.50x = 5,778 × 5,778
4. Step 4: Simplify right side
   4,477.50x = 33,385,284
5. Step 5: Solve for x
   x = 33,385,284/4,477.50
6. Step 6: Final answer
   x = 7,456.23