Finding the Third Proportional to 21,174 and 41,817

Step by Step Solution

1. Step 1: Write the proportion equation
   21,174 : 41,817 = 41,817 : x
2. Step 2: Convert to fraction form
   21,174/41,817 = 41,817/x
3. Step 3: Cross multiply
   21,174x = 41,817 × 41,817
4. Step 4: Simplify right side
   21,174x = 1,748,661,489
5. Step 5: Solve for x
   x = 1,748,661,489/21,174
6. Step 6: Final answer
   x = 82,585.32