Finding the Third Proportional to 25,569 and 52,913.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,569 : 52,913.25 = 52,913.25 : x
2. Step 2: Convert to fraction form
   25,569/52,913.25 = 52,913.25/x
3. Step 3: Cross multiply
   25,569x = 52,913.25 × 52,913.25
4. Step 4: Simplify right side
   25,569x = 2,799,812,025.56
5. Step 5: Solve for x
   x = 2,799,812,025.56/25,569
6. Step 6: Final answer
   x = 109,500.26