Finding the Third Proportional to 39,842 and 83,500

Step by Step Solution

1. Step 1: Write the proportion equation
   39,842 : 83,500 = 83,500 : x
2. Step 2: Convert to fraction form
   39,842/83,500 = 83,500/x
3. Step 3: Cross multiply
   39,842x = 83,500 × 83,500
4. Step 4: Simplify right side
   39,842x = 6,972,250,000
5. Step 5: Solve for x
   x = 6,972,250,000/39,842
6. Step 6: Final answer
   x = 174,997.49