Finding the Third Proportional to 17,640 and 37,705

Step by Step Solution

1. Step 1: Write the proportion equation
   17,640 : 37,705 = 37,705 : x
2. Step 2: Convert to fraction form
   17,640/37,705 = 37,705/x
3. Step 3: Cross multiply
   17,640x = 37,705 × 37,705
4. Step 4: Simplify right side
   17,640x = 1,421,667,025
5. Step 5: Solve for x
   x = 1,421,667,025/17,640
6. Step 6: Final answer
   x = 80,593.37