Finding the Third Proportional to 17,826 and 39,108

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826 : 39,108 = 39,108 : x
2. Step 2: Convert to fraction form
   17,826/39,108 = 39,108/x
3. Step 3: Cross multiply
   17,826x = 39,108 × 39,108
4. Step 4: Simplify right side
   17,826x = 1,529,435,664
5. Step 5: Solve for x
   x = 1,529,435,664/17,826
6. Step 6: Final answer
   x = 85,798.03