Finding the Third Proportional to 37,467 and 80,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,467 : 80,266.50 = 80,266.50 : x
2. Step 2: Convert to fraction form
   37,467/80,266.50 = 80,266.50/x
3. Step 3: Cross multiply
   37,467x = 80,266.50 × 80,266.50
4. Step 4: Simplify right side
   37,467x = 6,442,711,022.25
5. Step 5: Solve for x
   x = 6,442,711,022.25/37,467
6. Step 6: Final answer
   x = 171,956.95