Finding the Third Proportional to 37,415.75 and 80,020

Step by Step Solution

1. Step 1: Write the proportion equation
   37,415.75 : 80,020 = 80,020 : x
2. Step 2: Convert to fraction form
   37,415.75/80,020 = 80,020/x
3. Step 3: Cross multiply
   37,415.75x = 80,020 × 80,020
4. Step 4: Simplify right side
   37,415.75x = 6,403,200,400
5. Step 5: Solve for x
   x = 6,403,200,400/37,415.75
6. Step 6: Final answer
   x = 171,136.50