Finding the Third Proportional to 39,946.50 and 86,121.56

Step by Step Solution

1. Step 1: Write the proportion equation
   39,946.50 : 86,121.56 = 86,121.56 : x
2. Step 2: Convert to fraction form
   39,946.50/86,121.56 = 86,121.56/x
3. Step 3: Cross multiply
   39,946.50x = 86,121.56 × 86,121.56
4. Step 4: Simplify right side
   39,946.50x = 7,416,923,527.44
5. Step 5: Solve for x
   x = 7,416,923,527.44/39,946.50
6. Step 6: Final answer
   x = 185,671.42