Finding the Third Proportional to 10,010 and 21,782

Step by Step Solution

1. Step 1: Write the proportion equation
   10,010 : 21,782 = 21,782 : x
2. Step 2: Convert to fraction form
   10,010/21,782 = 21,782/x
3. Step 3: Cross multiply
   10,010x = 21,782 × 21,782
4. Step 4: Simplify right side
   10,010x = 474,455,524
5. Step 5: Solve for x
   x = 474,455,524/10,010
6. Step 6: Final answer
   x = 47,398.15