Finding the Third Proportional to 17,120 and 37,596

Step by Step Solution

1. Step 1: Write the proportion equation
   17,120 : 37,596 = 37,596 : x
2. Step 2: Convert to fraction form
   17,120/37,596 = 37,596/x
3. Step 3: Cross multiply
   17,120x = 37,596 × 37,596
4. Step 4: Simplify right side
   17,120x = 1,413,459,216
5. Step 5: Solve for x
   x = 1,413,459,216/17,120
6. Step 6: Final answer
   x = 82,561.87