Finding the Third Proportional to 2,188 and 4,808

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188 : 4,808 = 4,808 : x
2. Step 2: Convert to fraction form
   2,188/4,808 = 4,808/x
3. Step 3: Cross multiply
   2,188x = 4,808 × 4,808
4. Step 4: Simplify right side
   2,188x = 23,116,864
5. Step 5: Solve for x
   x = 23,116,864/2,188
6. Step 6: Final answer
   x = 10,565.29