Finding the Third Proportional to 37,618 and 58,436

Step by Step Solution

1. Step 1: Write the proportion equation
   37,618 : 58,436 = 58,436 : x
2. Step 2: Convert to fraction form
   37,618/58,436 = 58,436/x
3. Step 3: Cross multiply
   37,618x = 58,436 × 58,436
4. Step 4: Simplify right side
   37,618x = 3,414,766,096
5. Step 5: Solve for x
   x = 3,414,766,096/37,618
6. Step 6: Final answer
   x = 90,774.79