Finding the Third Proportional to 17,805 and 38,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,805 : 38,290.50 = 38,290.50 : x
2. Step 2: Convert to fraction form
   17,805/38,290.50 = 38,290.50/x
3. Step 3: Cross multiply
   17,805x = 38,290.50 × 38,290.50
4. Step 4: Simplify right side
   17,805x = 1,466,162,390.25
5. Step 5: Solve for x
   x = 1,466,162,390.25/17,805
6. Step 6: Final answer
   x = 82,345.54