Finding the Third Proportional to 10,500 and 14,706

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 14,706 = 14,706 : x
2. Step 2: Convert to fraction form
   10,500/14,706 = 14,706/x
3. Step 3: Cross multiply
   10,500x = 14,706 × 14,706
4. Step 4: Simplify right side
   10,500x = 216,266,436
5. Step 5: Solve for x
   x = 216,266,436/10,500
6. Step 6: Final answer
   x = 20,596.80