Finding the Third Proportional to 17,751 and 38,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,751 : 38,782.50 = 38,782.50 : x
2. Step 2: Convert to fraction form
   17,751/38,782.50 = 38,782.50/x
3. Step 3: Cross multiply
   17,751x = 38,782.50 × 38,782.50
4. Step 4: Simplify right side
   17,751x = 1,504,082,306.25
5. Step 5: Solve for x
   x = 1,504,082,306.25/17,751
6. Step 6: Final answer
   x = 84,732.26