Finding the Third Proportional to 12,892.50 and 20,514.47

Step by Step Solution

1. Step 1: Write the proportion equation
   12,892.50 : 20,514.47 = 20,514.47 : x
2. Step 2: Convert to fraction form
   12,892.50/20,514.47 = 20,514.47/x
3. Step 3: Cross multiply
   12,892.50x = 20,514.47 × 20,514.47
4. Step 4: Simplify right side
   12,892.50x = 420,843,428.09
5. Step 5: Solve for x
   x = 420,843,428.09/12,892.50
6. Step 6: Final answer
   x = 32,642.50