Finding the Third Proportional to 37,623 and 80,142

Step by Step Solution

1. Step 1: Write the proportion equation
   37,623 : 80,142 = 80,142 : x
2. Step 2: Convert to fraction form
   37,623/80,142 = 80,142/x
3. Step 3: Cross multiply
   37,623x = 80,142 × 80,142
4. Step 4: Simplify right side
   37,623x = 6,422,740,164
5. Step 5: Solve for x
   x = 6,422,740,164/37,623
6. Step 6: Final answer
   x = 170,713.13