Finding the Third Proportional to 17,847 and 37,098

Step by Step Solution

1. Step 1: Write the proportion equation
   17,847 : 37,098 = 37,098 : x
2. Step 2: Convert to fraction form
   17,847/37,098 = 37,098/x
3. Step 3: Cross multiply
   17,847x = 37,098 × 37,098
4. Step 4: Simplify right side
   17,847x = 1,376,261,604
5. Step 5: Solve for x
   x = 1,376,261,604/17,847
6. Step 6: Final answer
   x = 77,114.45