Finding the Third Proportional to 39,546 and 86,384

Step by Step Solution

1. Step 1: Write the proportion equation
   39,546 : 86,384 = 86,384 : x
2. Step 2: Convert to fraction form
   39,546/86,384 = 86,384/x
3. Step 3: Cross multiply
   39,546x = 86,384 × 86,384
4. Step 4: Simplify right side
   39,546x = 7,462,195,456
5. Step 5: Solve for x
   x = 7,462,195,456/39,546
6. Step 6: Final answer
   x = 188,696.59