Finding the Third Proportional to 17,197 and 37,634

Step by Step Solution

1. Step 1: Write the proportion equation
   17,197 : 37,634 = 37,634 : x
2. Step 2: Convert to fraction form
   17,197/37,634 = 37,634/x
3. Step 3: Cross multiply
   17,197x = 37,634 × 37,634
4. Step 4: Simplify right side
   17,197x = 1,416,317,956
5. Step 5: Solve for x
   x = 1,416,317,956/17,197
6. Step 6: Final answer
   x = 82,358.43