Finding the Third Proportional to 21,665 and 31,677

Step by Step Solution

1. Step 1: Write the proportion equation
   21,665 : 31,677 = 31,677 : x
2. Step 2: Convert to fraction form
   21,665/31,677 = 31,677/x
3. Step 3: Cross multiply
   21,665x = 31,677 × 31,677
4. Step 4: Simplify right side
   21,665x = 1,003,432,329
5. Step 5: Solve for x
   x = 1,003,432,329/21,665
6. Step 6: Final answer
   x = 46,315.82