Finding the Third Proportional to 7,821 and 17,123

Step by Step Solution

1. Step 1: Write the proportion equation
   7,821 : 17,123 = 17,123 : x
2. Step 2: Convert to fraction form
   7,821/17,123 = 17,123/x
3. Step 3: Cross multiply
   7,821x = 17,123 × 17,123
4. Step 4: Simplify right side
   7,821x = 293,197,129
5. Step 5: Solve for x
   x = 293,197,129/7,821
6. Step 6: Final answer
   x = 37,488.45