Finding the Third Proportional to 40,089 and 86,982

Step by Step Solution

1. Step 1: Write the proportion equation
   40,089 : 86,982 = 86,982 : x
2. Step 2: Convert to fraction form
   40,089/86,982 = 86,982/x
3. Step 3: Cross multiply
   40,089x = 86,982 × 86,982
4. Step 4: Simplify right side
   40,089x = 7,565,868,324
5. Step 5: Solve for x
   x = 7,565,868,324/40,089
6. Step 6: Final answer
   x = 188,726.79