Finding the Third Proportional to 22,509 and 41,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,509 : 41,805.50 = 41,805.50 : x
2. Step 2: Convert to fraction form
   22,509/41,805.50 = 41,805.50/x
3. Step 3: Cross multiply
   22,509x = 41,805.50 × 41,805.50
4. Step 4: Simplify right side
   22,509x = 1,747,699,830.25
5. Step 5: Solve for x
   x = 1,747,699,830.25/22,509
6. Step 6: Final answer
   x = 77,644.49