Finding the Third Proportional to 37,564 and 56,229

Step by Step Solution

1. Step 1: Write the proportion equation
   37,564 : 56,229 = 56,229 : x
2. Step 2: Convert to fraction form
   37,564/56,229 = 56,229/x
3. Step 3: Cross multiply
   37,564x = 56,229 × 56,229
4. Step 4: Simplify right side
   37,564x = 3,161,700,441
5. Step 5: Solve for x
   x = 3,161,700,441/37,564
6. Step 6: Final answer
   x = 84,168.36