Finding the Third Proportional to 37,465 and 80,757

Step by Step Solution

1. Step 1: Write the proportion equation
   37,465 : 80,757 = 80,757 : x
2. Step 2: Convert to fraction form
   37,465/80,757 = 80,757/x
3. Step 3: Cross multiply
   37,465x = 80,757 × 80,757
4. Step 4: Simplify right side
   37,465x = 6,521,693,049
5. Step 5: Solve for x
   x = 6,521,693,049/37,465
6. Step 6: Final answer
   x = 174,074.28