Finding the Third Proportional to 10,506 and 14,700

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 14,700 = 14,700 : x
2. Step 2: Convert to fraction form
   10,506/14,700 = 14,700/x
3. Step 3: Cross multiply
   10,506x = 14,700 × 14,700
4. Step 4: Simplify right side
   10,506x = 216,090,000
5. Step 5: Solve for x
   x = 216,090,000/10,506
6. Step 6: Final answer
   x = 20,568.25