Finding the Third Proportional to 37,870 and 58,578

Step by Step Solution

1. Step 1: Write the proportion equation
   37,870 : 58,578 = 58,578 : x
2. Step 2: Convert to fraction form
   37,870/58,578 = 58,578/x
3. Step 3: Cross multiply
   37,870x = 58,578 × 58,578
4. Step 4: Simplify right side
   37,870x = 3,431,382,084
5. Step 5: Solve for x
   x = 3,431,382,084/37,870
6. Step 6: Final answer
   x = 90,609.51