Finding the Third Proportional to 41,426 and 59,196

Step by Step Solution

1. Step 1: Write the proportion equation
   41,426 : 59,196 = 59,196 : x
2. Step 2: Convert to fraction form
   41,426/59,196 = 59,196/x
3. Step 3: Cross multiply
   41,426x = 59,196 × 59,196
4. Step 4: Simplify right side
   41,426x = 3,504,166,416
5. Step 5: Solve for x
   x = 3,504,166,416/41,426
6. Step 6: Final answer
   x = 84,588.58