Finding the Third Proportional to 17,116 and 37,588

Step by Step Solution

1. Step 1: Write the proportion equation
   17,116 : 37,588 = 37,588 : x
2. Step 2: Convert to fraction form
   17,116/37,588 = 37,588/x
3. Step 3: Cross multiply
   17,116x = 37,588 × 37,588
4. Step 4: Simplify right side
   17,116x = 1,412,857,744
5. Step 5: Solve for x
   x = 1,412,857,744/17,116
6. Step 6: Final answer
   x = 82,546.02