Finding the Third Proportional to 3,815 and 5,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,815 : 5,705.50 = 5,705.50 : x
2. Step 2: Convert to fraction form
   3,815/5,705.50 = 5,705.50/x
3. Step 3: Cross multiply
   3,815x = 5,705.50 × 5,705.50
4. Step 4: Simplify right side
   3,815x = 32,552,730.25
5. Step 5: Solve for x
   x = 32,552,730.25/3,815
6. Step 6: Final answer
   x = 8,532.83