Finding the Third Proportional to 21,146 and 31,596

Step by Step Solution

1. Step 1: Write the proportion equation
   21,146 : 31,596 = 31,596 : x
2. Step 2: Convert to fraction form
   21,146/31,596 = 31,596/x
3. Step 3: Cross multiply
   21,146x = 31,596 × 31,596
4. Step 4: Simplify right side
   21,146x = 998,307,216
5. Step 5: Solve for x
   x = 998,307,216/21,146
6. Step 6: Final answer
   x = 47,210.22