Finding the Third Proportional to 7,140 and 10,166

Step by Step Solution

1. Step 1: Write the proportion equation
   7,140 : 10,166 = 10,166 : x
2. Step 2: Convert to fraction form
   7,140/10,166 = 10,166/x
3. Step 3: Cross multiply
   7,140x = 10,166 × 10,166
4. Step 4: Simplify right side
   7,140x = 103,347,556
5. Step 5: Solve for x
   x = 103,347,556/7,140
6. Step 6: Final answer
   x = 14,474.45