Finding the Third Proportional to 17,736 and 37,845

Step by Step Solution

1. Step 1: Write the proportion equation
   17,736 : 37,845 = 37,845 : x
2. Step 2: Convert to fraction form
   17,736/37,845 = 37,845/x
3. Step 3: Cross multiply
   17,736x = 37,845 × 37,845
4. Step 4: Simplify right side
   17,736x = 1,432,244,025
5. Step 5: Solve for x
   x = 1,432,244,025/17,736
6. Step 6: Final answer
   x = 80,753.50