Finding the Third Proportional to 17,640 and 37,740.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 37,740.38 = 37,740.38 : x
2. Step 2: Convert to fraction form
   17,640/37,740.38 = 37,740.38/x
3. Step 3: Cross multiply
   17,640x = 37,740.38 × 37,740.38
4. Step 4: Simplify right side
   17,640x = 1,424,335,905.14
5. Step 5: Solve for x
   x = 1,424,335,905.14/17,640
6. Step 6: Final answer
   x = 80,744.67