Finding the Third Proportional to 37,165 and 80,090

Step by Step Solution

1. Step 1: Write the proportion equation
   37,165 : 80,090 = 80,090 : x
2. Step 2: Convert to fraction form
   37,165/80,090 = 80,090/x
3. Step 3: Cross multiply
   37,165x = 80,090 × 80,090
4. Step 4: Simplify right side
   37,165x = 6,414,408,100
5. Step 5: Solve for x
   x = 6,414,408,100/37,165
6. Step 6: Final answer
   x = 172,592.71