Finding the Third Proportional to 37,008 and 80,499

Step by Step Solution

1. Step 1: Write the proportion equation
   37,008 : 80,499 = 80,499 : x
2. Step 2: Convert to fraction form
   37,008/80,499 = 80,499/x
3. Step 3: Cross multiply
   37,008x = 80,499 × 80,499
4. Step 4: Simplify right side
   37,008x = 6,480,089,001
5. Step 5: Solve for x
   x = 6,480,089,001/37,008
6. Step 6: Final answer
   x = 175,099.68