Finding the Third Proportional to 37,427.50 and 80,041

Step by Step Solution

1. Step 1: Write the proportion equation
   37,427.50 : 80,041 = 80,041 : x
2. Step 2: Convert to fraction form
   37,427.50/80,041 = 80,041/x
3. Step 3: Cross multiply
   37,427.50x = 80,041 × 80,041
4. Step 4: Simplify right side
   37,427.50x = 6,406,561,681
5. Step 5: Solve for x
   x = 6,406,561,681/37,427.50
6. Step 6: Final answer
   x = 171,172.58