Finding the Third Proportional to 25,851 and 52,798

Step by Step Solution

1. Step 1: Write the proportion equation
   25,851 : 52,798 = 52,798 : x
2. Step 2: Convert to fraction form
   25,851/52,798 = 52,798/x
3. Step 3: Cross multiply
   25,851x = 52,798 × 52,798
4. Step 4: Simplify right side
   25,851x = 2,787,628,804
5. Step 5: Solve for x
   x = 2,787,628,804/25,851
6. Step 6: Final answer
   x = 107,834.47