Finding the Third Proportional to 37,377 and 56,223

Step by Step Solution

1. Step 1: Write the proportion equation
   37,377 : 56,223 = 56,223 : x
2. Step 2: Convert to fraction form
   37,377/56,223 = 56,223/x
3. Step 3: Cross multiply
   37,377x = 56,223 × 56,223
4. Step 4: Simplify right side
   37,377x = 3,161,025,729
5. Step 5: Solve for x
   x = 3,161,025,729/37,377
6. Step 6: Final answer
   x = 84,571.41