Finding the Third Proportional to 10,074 and 21,880

Step by Step Solution

1. Step 1: Write the proportion equation
   10,074 : 21,880 = 21,880 : x
2. Step 2: Convert to fraction form
   10,074/21,880 = 21,880/x
3. Step 3: Cross multiply
   10,074x = 21,880 × 21,880
4. Step 4: Simplify right side
   10,074x = 478,734,400
5. Step 5: Solve for x
   x = 478,734,400/10,074
6. Step 6: Final answer
   x = 47,521.78