Finding the Third Proportional to 27,862 and 58,020

Step by Step Solution

1. Step 1: Write the proportion equation
   27,862 : 58,020 = 58,020 : x
2. Step 2: Convert to fraction form
   27,862/58,020 = 58,020/x
3. Step 3: Cross multiply
   27,862x = 58,020 × 58,020
4. Step 4: Simplify right side
   27,862x = 3,366,320,400
5. Step 5: Solve for x
   x = 3,366,320,400/27,862
6. Step 6: Final answer
   x = 120,821.20