Finding the Third Proportional to 21,889 and 32,514

Step by Step Solution

1. Step 1: Write the proportion equation
   21,889 : 32,514 = 32,514 : x
2. Step 2: Convert to fraction form
   21,889/32,514 = 32,514/x
3. Step 3: Cross multiply
   21,889x = 32,514 × 32,514
4. Step 4: Simplify right side
   21,889x = 1,057,160,196
5. Step 5: Solve for x
   x = 1,057,160,196/21,889
6. Step 6: Final answer
   x = 48,296.41