Finding the Third Proportional to 31,944 and 69,318

Step by Step Solution

1. Step 1: Write the proportion equation
   31,944 : 69,318 = 69,318 : x
2. Step 2: Convert to fraction form
   31,944/69,318 = 69,318/x
3. Step 3: Cross multiply
   31,944x = 69,318 × 69,318
4. Step 4: Simplify right side
   31,944x = 4,804,985,124
5. Step 5: Solve for x
   x = 4,804,985,124/31,944
6. Step 6: Final answer
   x = 150,419.02