Finding the Third Proportional to 41,038 and 58,678

Step by Step Solution

1. Step 1: Write the proportion equation
   41,038 : 58,678 = 58,678 : x
2. Step 2: Convert to fraction form
   41,038/58,678 = 58,678/x
3. Step 3: Cross multiply
   41,038x = 58,678 × 58,678
4. Step 4: Simplify right side
   41,038x = 3,443,107,684
5. Step 5: Solve for x
   x = 3,443,107,684/41,038
6. Step 6: Final answer
   x = 83,900.47