Finding the Third Proportional to 17,764.50 and 39,234.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,764.50 : 39,234.25 = 39,234.25 : x
2. Step 2: Convert to fraction form
   17,764.50/39,234.25 = 39,234.25/x
3. Step 3: Cross multiply
   17,764.50x = 39,234.25 × 39,234.25
4. Step 4: Simplify right side
   17,764.50x = 1,539,326,373.06
5. Step 5: Solve for x
   x = 1,539,326,373.06/17,764.50
6. Step 6: Final answer
   x = 86,651.83