Finding the Third Proportional to 17,658 and 41,691

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 41,691 = 41,691 : x
2. Step 2: Convert to fraction form
   17,658/41,691 = 41,691/x
3. Step 3: Cross multiply
   17,658x = 41,691 × 41,691
4. Step 4: Simplify right side
   17,658x = 1,738,139,481
5. Step 5: Solve for x
   x = 1,738,139,481/17,658
6. Step 6: Final answer
   x = 98,433.54