Finding the Third Proportional to 21,264 and 31,768

Step by Step Solution

1. Step 1: Write the proportion equation
   21,264 : 31,768 = 31,768 : x
2. Step 2: Convert to fraction form
   21,264/31,768 = 31,768/x
3. Step 3: Cross multiply
   21,264x = 31,768 × 31,768
4. Step 4: Simplify right side
   21,264x = 1,009,205,824
5. Step 5: Solve for x
   x = 1,009,205,824/21,264
6. Step 6: Final answer
   x = 47,460.77