Finding the Third Proportional to 39,019 and 83,956

Step by Step Solution

1. Step 1: Write the proportion equation
   39,019 : 83,956 = 83,956 : x
2. Step 2: Convert to fraction form
   39,019/83,956 = 83,956/x
3. Step 3: Cross multiply
   39,019x = 83,956 × 83,956
4. Step 4: Simplify right side
   39,019x = 7,048,609,936
5. Step 5: Solve for x
   x = 7,048,609,936/39,019
6. Step 6: Final answer
   x = 180,645.58