Finding the Third Proportional to 3,724.73 and 5,354.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,724.73 : 5,354.86 = 5,354.86 : x
2. Step 2: Convert to fraction form
   3,724.73/5,354.86 = 5,354.86/x
3. Step 3: Cross multiply
   3,724.73x = 5,354.86 × 5,354.86
4. Step 4: Simplify right side
   3,724.73x = 28,674,518.93
5. Step 5: Solve for x
   x = 28,674,518.93/3,724.73
6. Step 6: Final answer
   x = 7,698.41