Finding the Third Proportional to 27,862 and 65,705

Step by Step Solution

1. Step 1: Write the proportion equation
   27,862 : 65,705 = 65,705 : x
2. Step 2: Convert to fraction form
   27,862/65,705 = 65,705/x
3. Step 3: Cross multiply
   27,862x = 65,705 × 65,705
4. Step 4: Simplify right side
   27,862x = 4,317,147,025
5. Step 5: Solve for x
   x = 4,317,147,025/27,862
6. Step 6: Final answer
   x = 154,947.49