Finding the Third Proportional to 20,842 and 45,640

Step by Step Solution

1. Step 1: Write the proportion equation
   20,842 : 45,640 = 45,640 : x
2. Step 2: Convert to fraction form
   20,842/45,640 = 45,640/x
3. Step 3: Cross multiply
   20,842x = 45,640 × 45,640
4. Step 4: Simplify right side
   20,842x = 2,083,009,600
5. Step 5: Solve for x
   x = 2,083,009,600/20,842
6. Step 6: Final answer
   x = 99,942.88