Finding the Third Proportional to 7,782 and 17,323.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782 : 17,323.50 = 17,323.50 : x
2. Step 2: Convert to fraction form
   7,782/17,323.50 = 17,323.50/x
3. Step 3: Cross multiply
   7,782x = 17,323.50 × 17,323.50
4. Step 4: Simplify right side
   7,782x = 300,103,652.25
5. Step 5: Solve for x
   x = 300,103,652.25/7,782
6. Step 6: Final answer
   x = 38,563.82