Finding the Third Proportional to 31,316 and 65,218

Step by Step Solution

1. Step 1: Write the proportion equation
   31,316 : 65,218 = 65,218 : x
2. Step 2: Convert to fraction form
   31,316/65,218 = 65,218/x
3. Step 3: Cross multiply
   31,316x = 65,218 × 65,218
4. Step 4: Simplify right side
   31,316x = 4,253,387,524
5. Step 5: Solve for x
   x = 4,253,387,524/31,316
6. Step 6: Final answer
   x = 135,821.55