Finding the Third Proportional to 17,858 and 37,636

Step by Step Solution

1. Step 1: Write the proportion equation
   17,858 : 37,636 = 37,636 : x
2. Step 2: Convert to fraction form
   17,858/37,636 = 37,636/x
3. Step 3: Cross multiply
   17,858x = 37,636 × 37,636
4. Step 4: Simplify right side
   17,858x = 1,416,468,496
5. Step 5: Solve for x
   x = 1,416,468,496/17,858
6. Step 6: Final answer
   x = 79,318.43