Finding the Third Proportional to 31,923 and 69,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,923 : 69,373.50 = 69,373.50 : x
2. Step 2: Convert to fraction form
   31,923/69,373.50 = 69,373.50/x
3. Step 3: Cross multiply
   31,923x = 69,373.50 × 69,373.50
4. Step 4: Simplify right side
   31,923x = 4,812,682,502.25
5. Step 5: Solve for x
   x = 4,812,682,502.25/31,923
6. Step 6: Final answer
   x = 150,759.09