Finding the Third Proportional to 22,569 and 35,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,569 : 35,086.50 = 35,086.50 : x
2. Step 2: Convert to fraction form
   22,569/35,086.50 = 35,086.50/x
3. Step 3: Cross multiply
   22,569x = 35,086.50 × 35,086.50
4. Step 4: Simplify right side
   22,569x = 1,231,062,482.25
5. Step 5: Solve for x
   x = 1,231,062,482.25/22,569
6. Step 6: Final answer
   x = 54,546.61