Finding the Third Proportional to 17,564 and 37,195

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 37,195 = 37,195 : x
2. Step 2: Convert to fraction form
   17,564/37,195 = 37,195/x
3. Step 3: Cross multiply
   17,564x = 37,195 × 37,195
4. Step 4: Simplify right side
   17,564x = 1,383,468,025
5. Step 5: Solve for x
   x = 1,383,468,025/17,564
6. Step 6: Final answer
   x = 78,767.25