Finding the Third Proportional to 17,784 and 38,266.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784 : 38,266.50 = 38,266.50 : x
2. Step 2: Convert to fraction form
   17,784/38,266.50 = 38,266.50/x
3. Step 3: Cross multiply
   17,784x = 38,266.50 × 38,266.50
4. Step 4: Simplify right side
   17,784x = 1,464,325,022.25
5. Step 5: Solve for x
   x = 1,464,325,022.25/17,784
6. Step 6: Final answer
   x = 82,339.46