Finding the Third Proportional to 37,564 and 54,582

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564 : 54,582 = 54,582 : x
2. Step 2: Convert to fraction form
   37,564/54,582 = 54,582/x
3. Step 3: Cross multiply
   37,564x = 54,582 × 54,582
4. Step 4: Simplify right side
   37,564x = 2,979,194,724
5. Step 5: Solve for x
   x = 2,979,194,724/37,564
6. Step 6: Final answer
   x = 79,309.84