Finding the Third Proportional to 17,564 and 37,286

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 37,286 = 37,286 : x
2. Step 2: Convert to fraction form
   17,564/37,286 = 37,286/x
3. Step 3: Cross multiply
   17,564x = 37,286 × 37,286
4. Step 4: Simplify right side
   17,564x = 1,390,245,796
5. Step 5: Solve for x
   x = 1,390,245,796/17,564
6. Step 6: Final answer
   x = 79,153.14