Finding the Third Proportional to 37,818 and 80,604

Step by Step Solution

1. Step 1: Write the proportion equation
   37,818 : 80,604 = 80,604 : x
2. Step 2: Convert to fraction form
   37,818/80,604 = 80,604/x
3. Step 3: Cross multiply
   37,818x = 80,604 × 80,604
4. Step 4: Simplify right side
   37,818x = 6,497,004,816
5. Step 5: Solve for x
   x = 6,497,004,816/37,818
6. Step 6: Final answer
   x = 171,796.63