Finding the Third Proportional to 23,098 and 37,199

Step by Step Solution

1. Step 1: Write the proportion equation
   23,098 : 37,199 = 37,199 : x
2. Step 2: Convert to fraction form
   23,098/37,199 = 37,199/x
3. Step 3: Cross multiply
   23,098x = 37,199 × 37,199
4. Step 4: Simplify right side
   23,098x = 1,383,765,601
5. Step 5: Solve for x
   x = 1,383,765,601/23,098
6. Step 6: Final answer
   x = 59,908.46