Finding the Third Proportional to 37,092 and 86,874

Step by Step Solution

1. Step 1: Write the proportion equation
   37,092 : 86,874 = 86,874 : x
2. Step 2: Convert to fraction form
   37,092/86,874 = 86,874/x
3. Step 3: Cross multiply
   37,092x = 86,874 × 86,874
4. Step 4: Simplify right side
   37,092x = 7,547,091,876
5. Step 5: Solve for x
   x = 7,547,091,876/37,092
6. Step 6: Final answer
   x = 203,469.53