Finding the Third Proportional to 39,014 and 83,949

Step by Step Solution

1. Step 1: Write the proportion equation
   39,014 : 83,949 = 83,949 : x
2. Step 2: Convert to fraction form
   39,014/83,949 = 83,949/x
3. Step 3: Cross multiply
   39,014x = 83,949 × 83,949
4. Step 4: Simplify right side
   39,014x = 7,047,434,601
5. Step 5: Solve for x
   x = 7,047,434,601/39,014
6. Step 6: Final answer
   x = 180,638.61