Finding the Third Proportional to 23,088 and 48,144

Step by Step Solution

1. Step 1: Write the proportion equation
   23,088 : 48,144 = 48,144 : x
2. Step 2: Convert to fraction form
   23,088/48,144 = 48,144/x
3. Step 3: Cross multiply
   23,088x = 48,144 × 48,144
4. Step 4: Simplify right side
   23,088x = 2,317,844,736
5. Step 5: Solve for x
   x = 2,317,844,736/23,088
6. Step 6: Final answer
   x = 100,391.75