Finding the Third Proportional to 31,512 and 45,405

Step by Step Solution

1. Step 1: Write the proportion equation
   31,512 : 45,405 = 45,405 : x
2. Step 2: Convert to fraction form
   31,512/45,405 = 45,405/x
3. Step 3: Cross multiply
   31,512x = 45,405 × 45,405
4. Step 4: Simplify right side
   31,512x = 2,061,614,025
5. Step 5: Solve for x
   x = 2,061,614,025/31,512
6. Step 6: Final answer
   x = 65,423.14