Finding the Third Proportional to 37,454 and 82,062

Step by Step Solution

1. Step 1: Write the proportion equation
   37,454 : 82,062 = 82,062 : x
2. Step 2: Convert to fraction form
   37,454/82,062 = 82,062/x
3. Step 3: Cross multiply
   37,454x = 82,062 × 82,062
4. Step 4: Simplify right side
   37,454x = 6,734,171,844
5. Step 5: Solve for x
   x = 6,734,171,844/37,454
6. Step 6: Final answer
   x = 179,798.47