Finding the Third Proportional to 21,627 and 31,939.31

Step by Step Solution

1. Step 1: Write the proportion equation
   21,627 : 31,939.31 = 31,939.31 : x
2. Step 2: Convert to fraction form
   21,627/31,939.31 = 31,939.31/x
3. Step 3: Cross multiply
   21,627x = 31,939.31 × 31,939.31
4. Step 4: Simplify right side
   21,627x = 1,020,119,682.97
5. Step 5: Solve for x
   x = 1,020,119,682.97/21,627
6. Step 6: Final answer
   x = 47,168.80