Finding the Third Proportional to 10,141 and 21,781

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141 : 21,781 = 21,781 : x
2. Step 2: Convert to fraction form
   10,141/21,781 = 21,781/x
3. Step 3: Cross multiply
   10,141x = 21,781 × 21,781
4. Step 4: Simplify right side
   10,141x = 474,411,961
5. Step 5: Solve for x
   x = 474,411,961/10,141
6. Step 6: Final answer
   x = 46,781.58