Finding the Third Proportional to 25,569 and 52,375.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,569 : 52,375.50 = 52,375.50 : x
2. Step 2: Convert to fraction form
   25,569/52,375.50 = 52,375.50/x
3. Step 3: Cross multiply
   25,569x = 52,375.50 × 52,375.50
4. Step 4: Simplify right side
   25,569x = 2,743,193,000.25
5. Step 5: Solve for x
   x = 2,743,193,000.25/25,569
6. Step 6: Final answer
   x = 107,285.89