Finding the Third Proportional to 37,389.09 and 80,648.16

Step by Step Solution

1. Step 1: Write the proportion equation
   37,389.09 : 80,648.16 = 80,648.16 : x
2. Step 2: Convert to fraction form
   37,389.09/80,648.16 = 80,648.16/x
3. Step 3: Cross multiply
   37,389.09x = 80,648.16 × 80,648.16
4. Step 4: Simplify right side
   37,389.09x = 6,504,125,106.52
5. Step 5: Solve for x
   x = 6,504,125,106.52/37,389.09
6. Step 6: Final answer
   x = 173,957.82