Finding the Third Proportional to 19,566 and 26,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,566 : 26,584.50 = 26,584.50 : x
2. Step 2: Convert to fraction form
   19,566/26,584.50 = 26,584.50/x
3. Step 3: Cross multiply
   19,566x = 26,584.50 × 26,584.50
4. Step 4: Simplify right side
   19,566x = 706,735,640.25
5. Step 5: Solve for x
   x = 706,735,640.25/19,566
6. Step 6: Final answer
   x = 36,120.60