Finding the Third Proportional to 17,946 and 41,706

Step by Step Solution

1. Step 1: Write the proportion equation
   17,946 : 41,706 = 41,706 : x
2. Step 2: Convert to fraction form
   17,946/41,706 = 41,706/x
3. Step 3: Cross multiply
   17,946x = 41,706 × 41,706
4. Step 4: Simplify right side
   17,946x = 1,739,390,436
5. Step 5: Solve for x
   x = 1,739,390,436/17,946
6. Step 6: Final answer
   x = 96,923.57