Finding the Third Proportional to 17,152 and 37,582

Step by Step Solution

1. Step 1: Write the proportion equation
   17,152 : 37,582 = 37,582 : x
2. Step 2: Convert to fraction form
   17,152/37,582 = 37,582/x
3. Step 3: Cross multiply
   17,152x = 37,582 × 37,582
4. Step 4: Simplify right side
   17,152x = 1,412,406,724
5. Step 5: Solve for x
   x = 1,412,406,724/17,152
6. Step 6: Final answer
   x = 82,346.47