Finding the Third Proportional to 38,176.31 and 80,661.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,176.31 : 80,661.38 = 80,661.38 : x
2. Step 2: Convert to fraction form
   38,176.31/80,661.38 = 80,661.38/x
3. Step 3: Cross multiply
   38,176.31x = 80,661.38 × 80,661.38
4. Step 4: Simplify right side
   38,176.31x = 6,506,257,416.89
5. Step 5: Solve for x
   x = 6,506,257,416.89/38,176.31
6. Step 6: Final answer
   x = 170,426.55