Finding the Third Proportional to 37,640 and 56,524

Step by Step Solution

1. Step 1: Write the proportion equation
   37,640 : 56,524 = 56,524 : x
2. Step 2: Convert to fraction form
   37,640/56,524 = 56,524/x
3. Step 3: Cross multiply
   37,640x = 56,524 × 56,524
4. Step 4: Simplify right side
   37,640x = 3,194,962,576
5. Step 5: Solve for x
   x = 3,194,962,576/37,640
6. Step 6: Final answer
   x = 84,882.11