Finding the Third Proportional to 39,022 and 83,962

Step by Step Solution

1. Step 1: Write the proportion equation
   39,022 : 83,962 = 83,962 : x
2. Step 2: Convert to fraction form
   39,022/83,962 = 83,962/x
3. Step 3: Cross multiply
   39,022x = 83,962 × 83,962
4. Step 4: Simplify right side
   39,022x = 7,049,617,444
5. Step 5: Solve for x
   x = 7,049,617,444/39,022
6. Step 6: Final answer
   x = 180,657.51