Finding the Third Proportional to 5,865 and 10,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,865 : 10,906.50 = 10,906.50 : x
2. Step 2: Convert to fraction form
   5,865/10,906.50 = 10,906.50/x
3. Step 3: Cross multiply
   5,865x = 10,906.50 × 10,906.50
4. Step 4: Simplify right side
   5,865x = 118,951,742.25
5. Step 5: Solve for x
   x = 118,951,742.25/5,865
6. Step 6: Final answer
   x = 20,281.63