Finding the Third Proportional to 17,493 and 37,578

Step by Step Solution

1. Step 1: Write the proportion equation
   17,493 : 37,578 = 37,578 : x
2. Step 2: Convert to fraction form
   17,493/37,578 = 37,578/x
3. Step 3: Cross multiply
   17,493x = 37,578 × 37,578
4. Step 4: Simplify right side
   17,493x = 1,412,106,084
5. Step 5: Solve for x
   x = 1,412,106,084/17,493
6. Step 6: Final answer
   x = 80,724.07