Finding the Third Proportional to 35,665 and 51,405

Step by Step Solution

1. Step 1: Write the proportion equation
   35,665 : 51,405 = 51,405 : x
2. Step 2: Convert to fraction form
   35,665/51,405 = 51,405/x
3. Step 3: Cross multiply
   35,665x = 51,405 × 51,405
4. Step 4: Simplify right side
   35,665x = 2,642,474,025
5. Step 5: Solve for x
   x = 2,642,474,025/35,665
6. Step 6: Final answer
   x = 74,091.52