Finding the Third Proportional to 25,852 and 35,052

Step by Step Solution

1. Step 1: Write the proportion equation
   25,852 : 35,052 = 35,052 : x
2. Step 2: Convert to fraction form
   25,852/35,052 = 35,052/x
3. Step 3: Cross multiply
   25,852x = 35,052 × 35,052
4. Step 4: Simplify right side
   25,852x = 1,228,642,704
5. Step 5: Solve for x
   x = 1,228,642,704/25,852
6. Step 6: Final answer
   x = 47,526.02