Finding the Third Proportional to 35,789 and 53,665

Step by Step Solution

1. Step 1: Write the proportion equation
   35,789 : 53,665 = 53,665 : x
2. Step 2: Convert to fraction form
   35,789/53,665 = 53,665/x
3. Step 3: Cross multiply
   35,789x = 53,665 × 53,665
4. Step 4: Simplify right side
   35,789x = 2,879,932,225
5. Step 5: Solve for x
   x = 2,879,932,225/35,789
6. Step 6: Final answer
   x = 80,469.76