Finding the Third Proportional to 17,272 and 37,825

Step by Step Solution

1. Step 1: Write the proportion equation
   17,272 : 37,825 = 37,825 : x
2. Step 2: Convert to fraction form
   17,272/37,825 = 37,825/x
3. Step 3: Cross multiply
   17,272x = 37,825 × 37,825
4. Step 4: Simplify right side
   17,272x = 1,430,730,625
5. Step 5: Solve for x
   x = 1,430,730,625/17,272
6. Step 6: Final answer
   x = 82,835.26