Finding the Third Proportional to 10,500 and 18,294

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 18,294 = 18,294 : x
2. Step 2: Convert to fraction form
   10,500/18,294 = 18,294/x
3. Step 3: Cross multiply
   10,500x = 18,294 × 18,294
4. Step 4: Simplify right side
   10,500x = 334,670,436
5. Step 5: Solve for x
   x = 334,670,436/10,500
6. Step 6: Final answer
   x = 31,873.37