Finding the Third Proportional to 17,142 and 37,564

Step by Step Solution

1. Step 1: Write the proportion equation
   17,142 : 37,564 = 37,564 : x
2. Step 2: Convert to fraction form
   17,142/37,564 = 37,564/x
3. Step 3: Cross multiply
   17,142x = 37,564 × 37,564
4. Step 4: Simplify right side
   17,142x = 1,411,054,096
5. Step 5: Solve for x
   x = 1,411,054,096/17,142
6. Step 6: Final answer
   x = 82,315.60