Finding the Third Proportional to 37,380 and 56,226

Step by Step Solution

1. Step 1: Write the proportion equation
   37,380 : 56,226 = 56,226 : x
2. Step 2: Convert to fraction form
   37,380/56,226 = 56,226/x
3. Step 3: Cross multiply
   37,380x = 56,226 × 56,226
4. Step 4: Simplify right side
   37,380x = 3,161,363,076
5. Step 5: Solve for x
   x = 3,161,363,076/37,380
6. Step 6: Final answer
   x = 84,573.65