Finding the Third Proportional to 8,085 and 17,446.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,085 : 17,446.50 = 17,446.50 : x
2. Step 2: Convert to fraction form
   8,085/17,446.50 = 17,446.50/x
3. Step 3: Cross multiply
   8,085x = 17,446.50 × 17,446.50
4. Step 4: Simplify right side
   8,085x = 304,380,362.25
5. Step 5: Solve for x
   x = 304,380,362.25/8,085
6. Step 6: Final answer
   x = 37,647.54