Finding the Third Proportional to 21,180 and 31,767

Step by Step Solution

1. Step 1: Write the proportion equation
   21,180 : 31,767 = 31,767 : x
2. Step 2: Convert to fraction form
   21,180/31,767 = 31,767/x
3. Step 3: Cross multiply
   21,180x = 31,767 × 31,767
4. Step 4: Simplify right side
   21,180x = 1,009,142,289
5. Step 5: Solve for x
   x = 1,009,142,289/21,180
6. Step 6: Final answer
   x = 47,646.00