Finding the Third Proportional to 2,263.50 and 3,539.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,263.50 : 3,539.81 = 3,539.81 : x
2. Step 2: Convert to fraction form
   2,263.50/3,539.81 = 3,539.81/x
3. Step 3: Cross multiply
   2,263.50x = 3,539.81 × 3,539.81
4. Step 4: Simplify right side
   2,263.50x = 12,530,272.54
5. Step 5: Solve for x
   x = 12,530,272.54/2,263.50
6. Step 6: Final answer
   x = 5,535.80