Finding the Third Proportional to 23,098 and 35,837

Step by Step Solution

1. Step 1: Write the proportion equation
   23,098 : 35,837 = 35,837 : x
2. Step 2: Convert to fraction form
   23,098/35,837 = 35,837/x
3. Step 3: Cross multiply
   23,098x = 35,837 × 35,837
4. Step 4: Simplify right side
   23,098x = 1,284,290,569
5. Step 5: Solve for x
   x = 1,284,290,569/23,098
6. Step 6: Final answer
   x = 55,601.81