Finding the Third Proportional to 31,908 and 69,348

Step by Step Solution

1. Step 1: Write the proportion equation
   31,908 : 69,348 = 69,348 : x
2. Step 2: Convert to fraction form
   31,908/69,348 = 69,348/x
3. Step 3: Cross multiply
   31,908x = 69,348 × 69,348
4. Step 4: Simplify right side
   31,908x = 4,809,145,104
5. Step 5: Solve for x
   x = 4,809,145,104/31,908
6. Step 6: Final answer
   x = 150,719.10