Finding the Third Proportional to 17,688 and 37,192

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 37,192 = 37,192 : x
2. Step 2: Convert to fraction form
   17,688/37,192 = 37,192/x
3. Step 3: Cross multiply
   17,688x = 37,192 × 37,192
4. Step 4: Simplify right side
   17,688x = 1,383,244,864
5. Step 5: Solve for x
   x = 1,383,244,864/17,688
6. Step 6: Final answer
   x = 78,202.45