Finding the Third Proportional to 41,764 and 86,984

Step by Step Solution

1. Step 1: Write the proportion equation
   41,764 : 86,984 = 86,984 : x
2. Step 2: Convert to fraction form
   41,764/86,984 = 86,984/x
3. Step 3: Cross multiply
   41,764x = 86,984 × 86,984
4. Step 4: Simplify right side
   41,764x = 7,566,216,256
5. Step 5: Solve for x
   x = 7,566,216,256/41,764
6. Step 6: Final answer
   x = 181,165.99