Finding the Third Proportional to 35,001 and 55,665

Step by Step Solution

1. Step 1: Write the proportion equation
   35,001 : 55,665 = 55,665 : x
2. Step 2: Convert to fraction form
   35,001/55,665 = 55,665/x
3. Step 3: Cross multiply
   35,001x = 55,665 × 55,665
4. Step 4: Simplify right side
   35,001x = 3,098,592,225
5. Step 5: Solve for x
   x = 3,098,592,225/35,001
6. Step 6: Final answer
   x = 88,528.68