Finding the Third Proportional to 13,965 and 21,514.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,965 : 21,514.50 = 21,514.50 : x
2. Step 2: Convert to fraction form
   13,965/21,514.50 = 21,514.50/x
3. Step 3: Cross multiply
   13,965x = 21,514.50 × 21,514.50
4. Step 4: Simplify right side
   13,965x = 462,873,710.25
5. Step 5: Solve for x
   x = 462,873,710.25/13,965
6. Step 6: Final answer
   x = 33,145.27