Finding the Third Proportional to 21,171 and 31,123

Step by Step Solution

1. Step 1: Write the proportion equation
   21,171 : 31,123 = 31,123 : x
2. Step 2: Convert to fraction form
   21,171/31,123 = 31,123/x
3. Step 3: Cross multiply
   21,171x = 31,123 × 31,123
4. Step 4: Simplify right side
   21,171x = 968,641,129
5. Step 5: Solve for x
   x = 968,641,129/21,171
6. Step 6: Final answer
   x = 45,753.21