Finding the Third Proportional to 21,132 and 31,782

Step by Step Solution

1. Step 1: Write the proportion equation
   21,132 : 31,782 = 31,782 : x
2. Step 2: Convert to fraction form
   21,132/31,782 = 31,782/x
3. Step 3: Cross multiply
   21,132x = 31,782 × 31,782
4. Step 4: Simplify right side
   21,132x = 1,010,095,524
5. Step 5: Solve for x
   x = 1,010,095,524/21,132
6. Step 6: Final answer
   x = 47,799.33