Finding the Third Proportional to 37,972 and 83,092

Step by Step Solution

1. Step 1: Write the proportion equation
   37,972 : 83,092 = 83,092 : x
2. Step 2: Convert to fraction form
   37,972/83,092 = 83,092/x
3. Step 3: Cross multiply
   37,972x = 83,092 × 83,092
4. Step 4: Simplify right side
   37,972x = 6,904,280,464
5. Step 5: Solve for x
   x = 6,904,280,464/37,972
6. Step 6: Final answer
   x = 181,825.57