Finding the Third Proportional to 17,658 and 25,946

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 25,946 = 25,946 : x
2. Step 2: Convert to fraction form
   17,658/25,946 = 25,946/x
3. Step 3: Cross multiply
   17,658x = 25,946 × 25,946
4. Step 4: Simplify right side
   17,658x = 673,194,916
5. Step 5: Solve for x
   x = 673,194,916/17,658
6. Step 6: Final answer
   x = 38,124.07