Finding the Third Proportional to 3,820.50 and 5,720.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,820.50 : 5,720.63 = 5,720.63 : x
2. Step 2: Convert to fraction form
   3,820.50/5,720.63 = 5,720.63/x
3. Step 3: Cross multiply
   3,820.50x = 5,720.63 × 5,720.63
4. Step 4: Simplify right side
   3,820.50x = 32,725,550.39
5. Step 5: Solve for x
   x = 32,725,550.39/3,820.50
6. Step 6: Final answer
   x = 8,565.78