Finding the Third Proportional to 37,769 and 80,882

Step by Step Solution

1. Step 1: Write the proportion equation
   37,769 : 80,882 = 80,882 : x
2. Step 2: Convert to fraction form
   37,769/80,882 = 80,882/x
3. Step 3: Cross multiply
   37,769x = 80,882 × 80,882
4. Step 4: Simplify right side
   37,769x = 6,541,897,924
5. Step 5: Solve for x
   x = 6,541,897,924/37,769
6. Step 6: Final answer
   x = 173,208.13