Finding the Third Proportional to 12,514.50 and 19,369.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,514.50 : 19,369.13 = 19,369.13 : x
2. Step 2: Convert to fraction form
   12,514.50/19,369.13 = 19,369.13/x
3. Step 3: Cross multiply
   12,514.50x = 19,369.13 × 19,369.13
4. Step 4: Simplify right side
   12,514.50x = 375,163,003.27
5. Step 5: Solve for x
   x = 375,163,003.27/12,514.50
6. Step 6: Final answer
   x = 29,978.27