Finding the Third Proportional to 9,797 and 23,123

Step by Step Solution

1. Step 1: Write the proportion equation
   9,797 : 23,123 = 23,123 : x
2. Step 2: Convert to fraction form
   9,797/23,123 = 23,123/x
3. Step 3: Cross multiply
   9,797x = 23,123 × 23,123
4. Step 4: Simplify right side
   9,797x = 534,673,129
5. Step 5: Solve for x
   x = 534,673,129/9,797
6. Step 6: Final answer
   x = 54,575.19