Finding the Third Proportional to 10,076 and 21,662

Step by Step Solution

1. Step 1: Write the proportion equation
   10,076 : 21,662 = 21,662 : x
2. Step 2: Convert to fraction form
   10,076/21,662 = 21,662/x
3. Step 3: Cross multiply
   10,076x = 21,662 × 21,662
4. Step 4: Simplify right side
   10,076x = 469,242,244
5. Step 5: Solve for x
   x = 469,242,244/10,076
6. Step 6: Final answer
   x = 46,570.29