Finding the Third Proportional to 31,828 and 73,986

Step by Step Solution

1. Step 1: Write the proportion equation
   31,828 : 73,986 = 73,986 : x
2. Step 2: Convert to fraction form
   31,828/73,986 = 73,986/x
3. Step 3: Cross multiply
   31,828x = 73,986 × 73,986
4. Step 4: Simplify right side
   31,828x = 5,473,928,196
5. Step 5: Solve for x
   x = 5,473,928,196/31,828
6. Step 6: Final answer
   x = 171,984.67