Finding the Third Proportional to 25,178 and 35,199

Step by Step Solution

1. Step 1: Write the proportion equation
   25,178 : 35,199 = 35,199 : x
2. Step 2: Convert to fraction form
   25,178/35,199 = 35,199/x
3. Step 3: Cross multiply
   25,178x = 35,199 × 35,199
4. Step 4: Simplify right side
   25,178x = 1,238,969,601
5. Step 5: Solve for x
   x = 1,238,969,601/25,178
6. Step 6: Final answer
   x = 49,208.42