Finding the Third Proportional to 37,667 and 56,582

Step by Step Solution

1. Step 1: Write the proportion equation
   37,667 : 56,582 = 56,582 : x
2. Step 2: Convert to fraction form
   37,667/56,582 = 56,582/x
3. Step 3: Cross multiply
   37,667x = 56,582 × 56,582
4. Step 4: Simplify right side
   37,667x = 3,201,522,724
5. Step 5: Solve for x
   x = 3,201,522,724/37,667
6. Step 6: Final answer
   x = 84,995.43