Finding the Third Proportional to 35,665 and 55,225

Step by Step Solution

1. Step 1: Write the proportion equation
   35,665 : 55,225 = 55,225 : x
2. Step 2: Convert to fraction form
   35,665/55,225 = 55,225/x
3. Step 3: Cross multiply
   35,665x = 55,225 × 55,225
4. Step 4: Simplify right side
   35,665x = 3,049,800,625
5. Step 5: Solve for x
   x = 3,049,800,625/35,665
6. Step 6: Final answer
   x = 85,512.42