Finding the Third Proportional to 31,944 and 69,463

Step by Step Solution

1. Step 1: Write the proportion equation
   31,944 : 69,463 = 69,463 : x
2. Step 2: Convert to fraction form
   31,944/69,463 = 69,463/x
3. Step 3: Cross multiply
   31,944x = 69,463 × 69,463
4. Step 4: Simplify right side
   31,944x = 4,825,108,369
5. Step 5: Solve for x
   x = 4,825,108,369/31,944
6. Step 6: Final answer
   x = 151,048.97