Finding the Third Proportional to 37,463.50 and 80,270.75

Step by Step Solution

1. Step 1: Write the proportion equation
   37,463.50 : 80,270.75 = 80,270.75 : x
2. Step 2: Convert to fraction form
   37,463.50/80,270.75 = 80,270.75/x
3. Step 3: Cross multiply
   37,463.50x = 80,270.75 × 80,270.75
4. Step 4: Simplify right side
   37,463.50x = 6,443,393,305.56
5. Step 5: Solve for x
   x = 6,443,393,305.56/37,463.50
6. Step 6: Final answer
   x = 171,991.23