Finding the Third Proportional to 31,958 and 69,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,958 : 69,683.50 = 69,683.50 : x
2. Step 2: Convert to fraction form
   31,958/69,683.50 = 69,683.50/x
3. Step 3: Cross multiply
   31,958x = 69,683.50 × 69,683.50
4. Step 4: Simplify right side
   31,958x = 4,855,790,172.25
5. Step 5: Solve for x
   x = 4,855,790,172.25/31,958
6. Step 6: Final answer
   x = 151,942.87