Finding the Third Proportional to 45,978 and 62,405

Step by Step Solution

1. Step 1: Write the proportion equation
   45,978 : 62,405 = 62,405 : x
2. Step 2: Convert to fraction form
   45,978/62,405 = 62,405/x
3. Step 3: Cross multiply
   45,978x = 62,405 × 62,405
4. Step 4: Simplify right side
   45,978x = 3,894,384,025
5. Step 5: Solve for x
   x = 3,894,384,025/45,978
6. Step 6: Final answer
   x = 84,701.03