Finding the Third Proportional to 17,205 and 37,731

Step by Step Solution

1. Step 1: Write the proportion equation
   17,205 : 37,731 = 37,731 : x
2. Step 2: Convert to fraction form
   17,205/37,731 = 37,731/x
3. Step 3: Cross multiply
   17,205x = 37,731 × 37,731
4. Step 4: Simplify right side
   17,205x = 1,423,628,361
5. Step 5: Solve for x
   x = 1,423,628,361/17,205
6. Step 6: Final answer
   x = 82,745.04