Finding the Third Proportional to 31,926 and 69,379.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,926 : 69,379.50 = 69,379.50 : x
2. Step 2: Convert to fraction form
   31,926/69,379.50 = 69,379.50/x
3. Step 3: Cross multiply
   31,926x = 69,379.50 × 69,379.50
4. Step 4: Simplify right side
   31,926x = 4,813,515,020.25
5. Step 5: Solve for x
   x = 4,813,515,020.25/31,926
6. Step 6: Final answer
   x = 150,771.00