Finding the Third Proportional to 3,822.19 and 7,703.86

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822.19 : 7,703.86 = 7,703.86 : x
2. Step 2: Convert to fraction form
   3,822.19/7,703.86 = 7,703.86/x
3. Step 3: Cross multiply
   3,822.19x = 7,703.86 × 7,703.86
4. Step 4: Simplify right side
   3,822.19x = 59,349,449.27
5. Step 5: Solve for x
   x = 59,349,449.27/3,822.19
6. Step 6: Final answer
   x = 15,527.61