Finding the Third Proportional to 17,207 and 37,695

Step by Step Solution

1. Step 1: Write the proportion equation
   17,207 : 37,695 = 37,695 : x
2. Step 2: Convert to fraction form
   17,207/37,695 = 37,695/x
3. Step 3: Cross multiply
   17,207x = 37,695 × 37,695
4. Step 4: Simplify right side
   17,207x = 1,420,913,025
5. Step 5: Solve for x
   x = 1,420,913,025/17,207
6. Step 6: Final answer
   x = 82,577.62