Finding the Third Proportional to 19,565 and 41,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,565 : 41,559.50 = 41,559.50 : x
2. Step 2: Convert to fraction form
   19,565/41,559.50 = 41,559.50/x
3. Step 3: Cross multiply
   19,565x = 41,559.50 × 41,559.50
4. Step 4: Simplify right side
   19,565x = 1,727,192,040.25
5. Step 5: Solve for x
   x = 1,727,192,040.25/19,565
6. Step 6: Final answer
   x = 88,279.69