Finding the Third Proportional to 31,914 and 69,360

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 69,360 = 69,360 : x
2. Step 2: Convert to fraction form
   31,914/69,360 = 69,360/x
3. Step 3: Cross multiply
   31,914x = 69,360 × 69,360
4. Step 4: Simplify right side
   31,914x = 4,810,809,600
5. Step 5: Solve for x
   x = 4,810,809,600/31,914
6. Step 6: Final answer
   x = 150,742.92