Finding the Third Proportional to 10,114 and 12,900

Step by Step Solution

1. Step 1: Write the proportion equation
   10,114 : 12,900 = 12,900 : x
2. Step 2: Convert to fraction form
   10,114/12,900 = 12,900/x
3. Step 3: Cross multiply
   10,114x = 12,900 × 12,900
4. Step 4: Simplify right side
   10,114x = 166,410,000
5. Step 5: Solve for x
   x = 166,410,000/10,114
6. Step 6: Final answer
   x = 16,453.43