Finding the Third Proportional to 31,344 and 45,288

Step by Step Solution

1. Step 1: Write the proportion equation
   31,344 : 45,288 = 45,288 : x
2. Step 2: Convert to fraction form
   31,344/45,288 = 45,288/x
3. Step 3: Cross multiply
   31,344x = 45,288 × 45,288
4. Step 4: Simplify right side
   31,344x = 2,051,002,944
5. Step 5: Solve for x
   x = 2,051,002,944/31,344
6. Step 6: Final answer
   x = 65,435.26