Finding the Third Proportional to 10,388.50 and 16,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,388.50 : 16,514.50 = 16,514.50 : x
2. Step 2: Convert to fraction form
   10,388.50/16,514.50 = 16,514.50/x
3. Step 3: Cross multiply
   10,388.50x = 16,514.50 × 16,514.50
4. Step 4: Simplify right side
   10,388.50x = 272,728,710.25
5. Step 5: Solve for x
   x = 272,728,710.25/10,388.50
6. Step 6: Final answer
   x = 26,252.94