Finding the Third Proportional to 41,840 and 58,644

Step by Step Solution

1. Step 1: Write the proportion equation
   41,840 : 58,644 = 58,644 : x
2. Step 2: Convert to fraction form
   41,840/58,644 = 58,644/x
3. Step 3: Cross multiply
   41,840x = 58,644 × 58,644
4. Step 4: Simplify right side
   41,840x = 3,439,118,736
5. Step 5: Solve for x
   x = 3,439,118,736/41,840
6. Step 6: Final answer
   x = 82,196.91