Finding the Third Proportional to 10,500 and 21,312

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 21,312 = 21,312 : x
2. Step 2: Convert to fraction form
   10,500/21,312 = 21,312/x
3. Step 3: Cross multiply
   10,500x = 21,312 × 21,312
4. Step 4: Simplify right side
   10,500x = 454,201,344
5. Step 5: Solve for x
   x = 454,201,344/10,500
6. Step 6: Final answer
   x = 43,257.27