Finding the Third Proportional to 14,300 and 19,142

Step by Step Solution

1. Step 1: Write the proportion equation
   14,300 : 19,142 = 19,142 : x
2. Step 2: Convert to fraction form
   14,300/19,142 = 19,142/x
3. Step 3: Cross multiply
   14,300x = 19,142 × 19,142
4. Step 4: Simplify right side
   14,300x = 366,416,164
5. Step 5: Solve for x
   x = 366,416,164/14,300
6. Step 6: Final answer
   x = 25,623.51