Finding the Third Proportional to 17,684 and 37,072

Step by Step Solution

1. Step 1: Write the proportion equation
   17,684 : 37,072 = 37,072 : x
2. Step 2: Convert to fraction form
   17,684/37,072 = 37,072/x
3. Step 3: Cross multiply
   17,684x = 37,072 × 37,072
4. Step 4: Simplify right side
   17,684x = 1,374,333,184
5. Step 5: Solve for x
   x = 1,374,333,184/17,684
6. Step 6: Final answer
   x = 77,716.19