Finding the Third Proportional to 21,942 and 46,499

Step by Step Solution

1. Step 1: Write the proportion equation
   21,942 : 46,499 = 46,499 : x
2. Step 2: Convert to fraction form
   21,942/46,499 = 46,499/x
3. Step 3: Cross multiply
   21,942x = 46,499 × 46,499
4. Step 4: Simplify right side
   21,942x = 2,162,157,001
5. Step 5: Solve for x
   x = 2,162,157,001/21,942
6. Step 6: Final answer
   x = 98,539.65