Finding the Third Proportional to 3,815 and 5,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,815 : 5,619.50 = 5,619.50 : x
2. Step 2: Convert to fraction form
   3,815/5,619.50 = 5,619.50/x
3. Step 3: Cross multiply
   3,815x = 5,619.50 × 5,619.50
4. Step 4: Simplify right side
   3,815x = 31,578,780.25
5. Step 5: Solve for x
   x = 31,578,780.25/3,815
6. Step 6: Final answer
   x = 8,277.53