Finding the Third Proportional to 31,419 and 65,025

Step by Step Solution

1. Step 1: Write the proportion equation
   31,419 : 65,025 = 65,025 : x
2. Step 2: Convert to fraction form
   31,419/65,025 = 65,025/x
3. Step 3: Cross multiply
   31,419x = 65,025 × 65,025
4. Step 4: Simplify right side
   31,419x = 4,228,250,625
5. Step 5: Solve for x
   x = 4,228,250,625/31,419
6. Step 6: Final answer
   x = 134,576.23