Finding the Third Proportional to 17,086 and 37,537

Step by Step Solution

1. Step 1: Write the proportion equation
   17,086 : 37,537 = 37,537 : x
2. Step 2: Convert to fraction form
   17,086/37,537 = 37,537/x
3. Step 3: Cross multiply
   17,086x = 37,537 × 37,537
4. Step 4: Simplify right side
   17,086x = 1,409,026,369
5. Step 5: Solve for x
   x = 1,409,026,369/17,086
6. Step 6: Final answer
   x = 82,466.72