Finding the Third Proportional to 27,922 and 65,862

Step by Step Solution

1. Step 1: Write the proportion equation
   27,922 : 65,862 = 65,862 : x
2. Step 2: Convert to fraction form
   27,922/65,862 = 65,862/x
3. Step 3: Cross multiply
   27,922x = 65,862 × 65,862
4. Step 4: Simplify right side
   27,922x = 4,337,803,044
5. Step 5: Solve for x
   x = 4,337,803,044/27,922
6. Step 6: Final answer
   x = 155,354.31