Finding the Third Proportional to 40,974 and 86,747

Step by Step Solution

1. Step 1: Write the proportion equation
   40,974 : 86,747 = 86,747 : x
2. Step 2: Convert to fraction form
   40,974/86,747 = 86,747/x
3. Step 3: Cross multiply
   40,974x = 86,747 × 86,747
4. Step 4: Simplify right side
   40,974x = 7,525,042,009
5. Step 5: Solve for x
   x = 7,525,042,009/40,974
6. Step 6: Final answer
   x = 183,654.07