Finding the Third Proportional to 864 and 1,906.88

Step by Step Solution

1. Step 1: Write the proportion equation
   864 : 1,906.88 = 1,906.88 : x
2. Step 2: Convert to fraction form
   864/1,906.88 = 1,906.88/x
3. Step 3: Cross multiply
   864x = 1,906.88 × 1,906.88
4. Step 4: Simplify right side
   864x = 3,636,172.27
5. Step 5: Solve for x
   x = 3,636,172.27/864
6. Step 6: Final answer
   x = 4,208.53