Finding the Third Proportional to 35,736 and 83,092

Step by Step Solution

1. Step 1: Write the proportion equation
   35,736 : 83,092 = 83,092 : x
2. Step 2: Convert to fraction form
   35,736/83,092 = 83,092/x
3. Step 3: Cross multiply
   35,736x = 83,092 × 83,092
4. Step 4: Simplify right side
   35,736x = 6,904,280,464
5. Step 5: Solve for x
   x = 6,904,280,464/35,736
6. Step 6: Final answer
   x = 193,202.39