Finding the Third Proportional to 21,186 and 31,770

Step by Step Solution

1. Step 1: Write the proportion equation
   21,186 : 31,770 = 31,770 : x
2. Step 2: Convert to fraction form
   21,186/31,770 = 31,770/x
3. Step 3: Cross multiply
   21,186x = 31,770 × 31,770
4. Step 4: Simplify right side
   21,186x = 1,009,332,900
5. Step 5: Solve for x
   x = 1,009,332,900/21,186
6. Step 6: Final answer
   x = 47,641.50