Finding the Third Proportional to 21,870 and 48,144.38

Step by Step Solution

1. Step 1: Write the proportion equation
   21,870 : 48,144.38 = 48,144.38 : x
2. Step 2: Convert to fraction form
   21,870/48,144.38 = 48,144.38/x
3. Step 3: Cross multiply
   21,870x = 48,144.38 × 48,144.38
4. Step 4: Simplify right side
   21,870x = 2,317,880,844.14
5. Step 5: Solve for x
   x = 2,317,880,844.14/21,870
6. Step 6: Final answer
   x = 105,984.49