Finding the Third Proportional to 37,564 and 56,228

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564 : 56,228 = 56,228 : x
2. Step 2: Convert to fraction form
   37,564/56,228 = 56,228/x
3. Step 3: Cross multiply
   37,564x = 56,228 × 56,228
4. Step 4: Simplify right side
   37,564x = 3,161,587,984
5. Step 5: Solve for x
   x = 3,161,587,984/37,564
6. Step 6: Final answer
   x = 84,165.37