Finding the Third Proportional to 31,908 and 69,405

Step by Step Solution

1. Step 1: Write the proportion equation
   31,908 : 69,405 = 69,405 : x
2. Step 2: Convert to fraction form
   31,908/69,405 = 69,405/x
3. Step 3: Cross multiply
   31,908x = 69,405 × 69,405
4. Step 4: Simplify right side
   31,908x = 4,817,054,025
5. Step 5: Solve for x
   x = 4,817,054,025/31,908
6. Step 6: Final answer
   x = 150,966.97