Finding the Third Proportional to 17,638.50 and 23,514.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638.50 : 23,514.75 = 23,514.75 : x
2. Step 2: Convert to fraction form
   17,638.50/23,514.75 = 23,514.75/x
3. Step 3: Cross multiply
   17,638.50x = 23,514.75 × 23,514.75
4. Step 4: Simplify right side
   17,638.50x = 552,943,467.56
5. Step 5: Solve for x
   x = 552,943,467.56/17,638.50
6. Step 6: Final answer
   x = 31,348.67