Finding the Third Proportional to 17,564 and 37,952

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 37,952 = 37,952 : x
2. Step 2: Convert to fraction form
   17,564/37,952 = 37,952/x
3. Step 3: Cross multiply
   17,564x = 37,952 × 37,952
4. Step 4: Simplify right side
   17,564x = 1,440,354,304
5. Step 5: Solve for x
   x = 1,440,354,304/17,564
6. Step 6: Final answer
   x = 82,006.05