Finding the Third Proportional to 41,428 and 58,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,428 : 58,564.50 = 58,564.50 : x
2. Step 2: Convert to fraction form
   41,428/58,564.50 = 58,564.50/x
3. Step 3: Cross multiply
   41,428x = 58,564.50 × 58,564.50
4. Step 4: Simplify right side
   41,428x = 3,429,800,660.25
5. Step 5: Solve for x
   x = 3,429,800,660.25/41,428
6. Step 6: Final answer
   x = 82,789.43