Finding the Third Proportional to 31,986 and 69,750

Step by Step Solution

1. Step 1: Write the proportion equation
   31,986 : 69,750 = 69,750 : x
2. Step 2: Convert to fraction form
   31,986/69,750 = 69,750/x
3. Step 3: Cross multiply
   31,986x = 69,750 × 69,750
4. Step 4: Simplify right side
   31,986x = 4,865,062,500
5. Step 5: Solve for x
   x = 4,865,062,500/31,986
6. Step 6: Final answer
   x = 152,099.75