Finding the Third Proportional to 36,836 and 58,582

Step by Step Solution

1. Step 1: Write the proportion equation
   36,836 : 58,582 = 58,582 : x
2. Step 2: Convert to fraction form
   36,836/58,582 = 58,582/x
3. Step 3: Cross multiply
   36,836x = 58,582 × 58,582
4. Step 4: Simplify right side
   36,836x = 3,431,850,724
5. Step 5: Solve for x
   x = 3,431,850,724/36,836
6. Step 6: Final answer
   x = 93,165.67