Finding the Third Proportional to 10,140 and 15,142

Step by Step Solution

1. Step 1: Write the proportion equation
   10,140 : 15,142 = 15,142 : x
2. Step 2: Convert to fraction form
   10,140/15,142 = 15,142/x
3. Step 3: Cross multiply
   10,140x = 15,142 × 15,142
4. Step 4: Simplify right side
   10,140x = 229,280,164
5. Step 5: Solve for x
   x = 229,280,164/10,140
6. Step 6: Final answer
   x = 22,611.46