Finding the Third Proportional to 3,792.38 and 7,772.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792.38 : 7,772.63 = 7,772.63 : x
2. Step 2: Convert to fraction form
   3,792.38/7,772.63 = 7,772.63/x
3. Step 3: Cross multiply
   3,792.38x = 7,772.63 × 7,772.63
4. Step 4: Simplify right side
   3,792.38x = 60,413,699.39
5. Step 5: Solve for x
   x = 60,413,699.39/3,792.38
6. Step 6: Final answer
   x = 15,930.31