Finding the Third Proportional to 25,746 and 55,697.25

Step by Step Solution

1. Step 1: Write the proportion equation
   25,746 : 55,697.25 = 55,697.25 : x
2. Step 2: Convert to fraction form
   25,746/55,697.25 = 55,697.25/x
3. Step 3: Cross multiply
   25,746x = 55,697.25 × 55,697.25
4. Step 4: Simplify right side
   25,746x = 3,102,183,657.56
5. Step 5: Solve for x
   x = 3,102,183,657.56/25,746
6. Step 6: Final answer
   x = 120,491.87