Finding the Third Proportional to 17,140 and 37,559

Step by Step Solution

1. Step 1: Write the proportion equation
   17,140 : 37,559 = 37,559 : x
2. Step 2: Convert to fraction form
   17,140/37,559 = 37,559/x
3. Step 3: Cross multiply
   17,140x = 37,559 × 37,559
4. Step 4: Simplify right side
   17,140x = 1,410,678,481
5. Step 5: Solve for x
   x = 1,410,678,481/17,140
6. Step 6: Final answer
   x = 82,303.30