Finding the Third Proportional to 20,839 and 45,588

Step by Step Solution

1. Step 1: Write the proportion equation
   20,839 : 45,588 = 45,588 : x
2. Step 2: Convert to fraction form
   20,839/45,588 = 45,588/x
3. Step 3: Cross multiply
   20,839x = 45,588 × 45,588
4. Step 4: Simplify right side
   20,839x = 2,078,265,744
5. Step 5: Solve for x
   x = 2,078,265,744/20,839
6. Step 6: Final answer
   x = 99,729.63