Finding the Third Proportional to 58,768.50 and 82,578.38

Step by Step Solution

1. Step 1: Write the proportion equation
   58,768.50 : 82,578.38 = 82,578.38 : x
2. Step 2: Convert to fraction form
   58,768.50/82,578.38 = 82,578.38/x
3. Step 3: Cross multiply
   58,768.50x = 82,578.38 × 82,578.38
4. Step 4: Simplify right side
   58,768.50x = 6,819,188,017.64
5. Step 5: Solve for x
   x = 6,819,188,017.64/58,768.50
6. Step 6: Final answer
   x = 116,034.75