Finding the Third Proportional to 13,738 and 25,514

Step by Step Solution

1. Step 1: Write the proportion equation
   13,738 : 25,514 = 25,514 : x
2. Step 2: Convert to fraction form
   13,738/25,514 = 25,514/x
3. Step 3: Cross multiply
   13,738x = 25,514 × 25,514
4. Step 4: Simplify right side
   13,738x = 650,964,196
5. Step 5: Solve for x
   x = 650,964,196/13,738
6. Step 6: Final answer
   x = 47,384.20