Finding the Third Proportional to 41,970 and 58,680

Step by Step Solution

1. Step 1: Write the proportion equation
   41,970 : 58,680 = 58,680 : x
2. Step 2: Convert to fraction form
   41,970/58,680 = 58,680/x
3. Step 3: Cross multiply
   41,970x = 58,680 × 58,680
4. Step 4: Simplify right side
   41,970x = 3,443,342,400
5. Step 5: Solve for x
   x = 3,443,342,400/41,970
6. Step 6: Final answer
   x = 82,042.94