Finding the Third Proportional to 10,262 and 21,820

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262 : 21,820 = 21,820 : x
2. Step 2: Convert to fraction form
   10,262/21,820 = 21,820/x
3. Step 3: Cross multiply
   10,262x = 21,820 × 21,820
4. Step 4: Simplify right side
   10,262x = 476,112,400
5. Step 5: Solve for x
   x = 476,112,400/10,262
6. Step 6: Final answer
   x = 46,395.67