Finding the Third Proportional to 37,914 and 82,548

Step by Step Solution

1. Step 1: Write the proportion equation
   37,914 : 82,548 = 82,548 : x
2. Step 2: Convert to fraction form
   37,914/82,548 = 82,548/x
3. Step 3: Cross multiply
   37,914x = 82,548 × 82,548
4. Step 4: Simplify right side
   37,914x = 6,814,172,304
5. Step 5: Solve for x
   x = 6,814,172,304/37,914
6. Step 6: Final answer
   x = 179,727.07