Finding the Third Proportional to 7,824 and 17,156

Step by Step Solution

1. Step 1: Write the proportion equation
   7,824 : 17,156 = 17,156 : x
2. Step 2: Convert to fraction form
   7,824/17,156 = 17,156/x
3. Step 3: Cross multiply
   7,824x = 17,156 × 17,156
4. Step 4: Simplify right side
   7,824x = 294,328,336
5. Step 5: Solve for x
   x = 294,328,336/7,824
6. Step 6: Final answer
   x = 37,618.65