Finding the Third Proportional to 21,942 and 48,046.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,942 : 48,046.50 = 48,046.50 : x
2. Step 2: Convert to fraction form
   21,942/48,046.50 = 48,046.50/x
3. Step 3: Cross multiply
   21,942x = 48,046.50 × 48,046.50
4. Step 4: Simplify right side
   21,942x = 2,308,466,162.25
5. Step 5: Solve for x
   x = 2,308,466,162.25/21,942
6. Step 6: Final answer
   x = 105,207.65