Finding the Third Proportional to 31,855 and 69,350

Step by Step Solution

1. Step 1: Write the proportion equation
   31,855 : 69,350 = 69,350 : x
2. Step 2: Convert to fraction form
   31,855/69,350 = 69,350/x
3. Step 3: Cross multiply
   31,855x = 69,350 × 69,350
4. Step 4: Simplify right side
   31,855x = 4,809,422,500
5. Step 5: Solve for x
   x = 4,809,422,500/31,855
6. Step 6: Final answer
   x = 150,978.57