Finding the Third Proportional to 17,824 and 25,818

Step by Step Solution

1. Step 1: Write the proportion equation
   17,824 : 25,818 = 25,818 : x
2. Step 2: Convert to fraction form
   17,824/25,818 = 25,818/x
3. Step 3: Cross multiply
   17,824x = 25,818 × 25,818
4. Step 4: Simplify right side
   17,824x = 666,569,124
5. Step 5: Solve for x
   x = 666,569,124/17,824
6. Step 6: Final answer
   x = 37,397.28