Finding the Third Proportional to 17,565 and 37,605

Step by Step Solution

1. Step 1: Write the proportion equation
   17,565 : 37,605 = 37,605 : x
2. Step 2: Convert to fraction form
   17,565/37,605 = 37,605/x
3. Step 3: Cross multiply
   17,565x = 37,605 × 37,605
4. Step 4: Simplify right side
   17,565x = 1,414,136,025
5. Step 5: Solve for x
   x = 1,414,136,025/17,565
6. Step 6: Final answer
   x = 80,508.74