Finding the Third Proportional to 17,596 and 37,351

Step by Step Solution

1. Step 1: Write the proportion equation
   17,596 : 37,351 = 37,351 : x
2. Step 2: Convert to fraction form
   17,596/37,351 = 37,351/x
3. Step 3: Cross multiply
   17,596x = 37,351 × 37,351
4. Step 4: Simplify right side
   17,596x = 1,395,097,201
5. Step 5: Solve for x
   x = 1,395,097,201/17,596
6. Step 6: Final answer
   x = 79,284.91