Finding the Third Proportional to 18,866 and 39,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,866 : 39,567.50 = 39,567.50 : x
2. Step 2: Convert to fraction form
   18,866/39,567.50 = 39,567.50/x
3. Step 3: Cross multiply
   18,866x = 39,567.50 × 39,567.50
4. Step 4: Simplify right side
   18,866x = 1,565,587,056.25
5. Step 5: Solve for x
   x = 1,565,587,056.25/18,866
6. Step 6: Final answer
   x = 82,984.58