Finding the Third Proportional to 39,956 and 86,824

Step by Step Solution

1. Step 1: Write the proportion equation
   39,956 : 86,824 = 86,824 : x
2. Step 2: Convert to fraction form
   39,956/86,824 = 86,824/x
3. Step 3: Cross multiply
   39,956x = 86,824 × 86,824
4. Step 4: Simplify right side
   39,956x = 7,538,406,976
5. Step 5: Solve for x
   x = 7,538,406,976/39,956
6. Step 6: Final answer
   x = 188,667.71