Finding the Third Proportional to 37,676 and 58,285

Step by Step Solution

1. Step 1: Write the proportion equation
   37,676 : 58,285 = 58,285 : x
2. Step 2: Convert to fraction form
   37,676/58,285 = 58,285/x
3. Step 3: Cross multiply
   37,676x = 58,285 × 58,285
4. Step 4: Simplify right side
   37,676x = 3,397,141,225
5. Step 5: Solve for x
   x = 3,397,141,225/37,676
6. Step 6: Final answer
   x = 90,167.25