Finding the Third Proportional to 25,501 and 35,848

Step by Step Solution

1. Step 1: Write the proportion equation
   25,501 : 35,848 = 35,848 : x
2. Step 2: Convert to fraction form
   25,501/35,848 = 35,848/x
3. Step 3: Cross multiply
   25,501x = 35,848 × 35,848
4. Step 4: Simplify right side
   25,501x = 1,285,079,104
5. Step 5: Solve for x
   x = 1,285,079,104/25,501
6. Step 6: Final answer
   x = 50,393.28