Finding the Third Proportional to 7,567 and 10,114

Step by Step Solution

1. Step 1: Write the proportion equation
   7,567 : 10,114 = 10,114 : x
2. Step 2: Convert to fraction form
   7,567/10,114 = 10,114/x
3. Step 3: Cross multiply
   7,567x = 10,114 × 10,114
4. Step 4: Simplify right side
   7,567x = 102,292,996
5. Step 5: Solve for x
   x = 102,292,996/7,567
6. Step 6: Final answer
   x = 13,518.30