Finding the Third Proportional to 37,514 and 80,806

Step by Step Solution

1. Step 1: Write the proportion equation
   37,514 : 80,806 = 80,806 : x
2. Step 2: Convert to fraction form
   37,514/80,806 = 80,806/x
3. Step 3: Cross multiply
   37,514x = 80,806 × 80,806
4. Step 4: Simplify right side
   37,514x = 6,529,609,636
5. Step 5: Solve for x
   x = 6,529,609,636/37,514
6. Step 6: Final answer
   x = 174,057.94