Finding the Third Proportional to 10,172 and 14,764

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 14,764 = 14,764 : x
2. Step 2: Convert to fraction form
   10,172/14,764 = 14,764/x
3. Step 3: Cross multiply
   10,172x = 14,764 × 14,764
4. Step 4: Simplify right side
   10,172x = 217,975,696
5. Step 5: Solve for x
   x = 217,975,696/10,172
6. Step 6: Final answer
   x = 21,428.99