Finding the Third Proportional to 3,723.19 and 5,383.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,723.19 : 5,383.69 = 5,383.69 : x
2. Step 2: Convert to fraction form
   3,723.19/5,383.69 = 5,383.69/x
3. Step 3: Cross multiply
   3,723.19x = 5,383.69 × 5,383.69
4. Step 4: Simplify right side
   3,723.19x = 28,984,091.10
5. Step 5: Solve for x
   x = 28,984,091.10/3,723.19
6. Step 6: Final answer
   x = 7,784.75