Finding the Third Proportional to 13,973.06 and 20,514.09

Step by Step Solution

1. Step 1: Write the proportion equation
   13,973.06 : 20,514.09 = 20,514.09 : x
2. Step 2: Convert to fraction form
   13,973.06/20,514.09 = 20,514.09/x
3. Step 3: Cross multiply
   13,973.06x = 20,514.09 × 20,514.09
4. Step 4: Simplify right side
   13,973.06x = 420,828,042.38
5. Step 5: Solve for x
   x = 420,828,042.38/13,973.06
6. Step 6: Final answer
   x = 30,117.09