Finding the Third Proportional to 23,569 and 34,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,569 : 34,084.50 = 34,084.50 : x
2. Step 2: Convert to fraction form
   23,569/34,084.50 = 34,084.50/x
3. Step 3: Cross multiply
   23,569x = 34,084.50 × 34,084.50
4. Step 4: Simplify right side
   23,569x = 1,161,753,140.25
5. Step 5: Solve for x
   x = 1,161,753,140.25/23,569
6. Step 6: Final answer
   x = 49,291.58