Finding the Third Proportional to 21,514.50 and 32,261.63

Step by Step Solution

1. Step 1: Write the proportion equation
   21,514.50 : 32,261.63 = 32,261.63 : x
2. Step 2: Convert to fraction form
   21,514.50/32,261.63 = 32,261.63/x
3. Step 3: Cross multiply
   21,514.50x = 32,261.63 × 32,261.63
4. Step 4: Simplify right side
   21,514.50x = 1,040,812,447.64
5. Step 5: Solve for x
   x = 1,040,812,447.64/21,514.50
6. Step 6: Final answer
   x = 48,377.25