Finding the Third Proportional to 17,189 and 37,510

Step by Step Solution

1. Step 1: Write the proportion equation
   17,189 : 37,510 = 37,510 : x
2. Step 2: Convert to fraction form
   17,189/37,510 = 37,510/x
3. Step 3: Cross multiply
   17,189x = 37,510 × 37,510
4. Step 4: Simplify right side
   17,189x = 1,407,000,100
5. Step 5: Solve for x
   x = 1,407,000,100/17,189
6. Step 6: Final answer
   x = 81,854.68