Finding the Third Proportional to 41,580 and 58,558.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,580 : 58,558.50 = 58,558.50 : x
2. Step 2: Convert to fraction form
   41,580/58,558.50 = 58,558.50/x
3. Step 3: Cross multiply
   41,580x = 58,558.50 × 58,558.50
4. Step 4: Simplify right side
   41,580x = 3,429,097,922.25
5. Step 5: Solve for x
   x = 3,429,097,922.25/41,580
6. Step 6: Final answer
   x = 82,469.89