Finding the Third Proportional to 10,040 and 21,376

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040 : 21,376 = 21,376 : x
2. Step 2: Convert to fraction form
   10,040/21,376 = 21,376/x
3. Step 3: Cross multiply
   10,040x = 21,376 × 21,376
4. Step 4: Simplify right side
   10,040x = 456,933,376
5. Step 5: Solve for x
   x = 456,933,376/10,040
6. Step 6: Final answer
   x = 45,511.29