Finding the Third Proportional to 3,817.76 and 5,930.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,817.76 : 5,930.72 = 5,930.72 : x
2. Step 2: Convert to fraction form
   3,817.76/5,930.72 = 5,930.72/x
3. Step 3: Cross multiply
   3,817.76x = 5,930.72 × 5,930.72
4. Step 4: Simplify right side
   3,817.76x = 35,173,424.89
5. Step 5: Solve for x
   x = 35,173,424.89/3,817.76
6. Step 6: Final answer
   x = 9,213.11