Finding the Third Proportional to 17,188 and 37,696

Step by Step Solution

1. Step 1: Write the proportion equation
   17,188 : 37,696 = 37,696 : x
2. Step 2: Convert to fraction form
   17,188/37,696 = 37,696/x
3. Step 3: Cross multiply
   17,188x = 37,696 × 37,696
4. Step 4: Simplify right side
   17,188x = 1,420,988,416
5. Step 5: Solve for x
   x = 1,420,988,416/17,188
6. Step 6: Final answer
   x = 82,673.28