Finding the Third Proportional to 21,790 and 46,195

Step by Step Solution

1. Step 1: Write the proportion equation
   21,790 : 46,195 = 46,195 : x
2. Step 2: Convert to fraction form
   21,790/46,195 = 46,195/x
3. Step 3: Cross multiply
   21,790x = 46,195 × 46,195
4. Step 4: Simplify right side
   21,790x = 2,133,978,025
5. Step 5: Solve for x
   x = 2,133,978,025/21,790
6. Step 6: Final answer
   x = 97,933.82