Finding the Third Proportional to 13,126 and 19,256

Step by Step Solution

1. Step 1: Write the proportion equation
   13,126 : 19,256 = 19,256 : x
2. Step 2: Convert to fraction form
   13,126/19,256 = 19,256/x
3. Step 3: Cross multiply
   13,126x = 19,256 × 19,256
4. Step 4: Simplify right side
   13,126x = 370,793,536
5. Step 5: Solve for x
   x = 370,793,536/13,126
6. Step 6: Final answer
   x = 28,248.78