Finding the Third Proportional to 23,193 and 31,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,193 : 31,071.50 = 31,071.50 : x
2. Step 2: Convert to fraction form
   23,193/31,071.50 = 31,071.50/x
3. Step 3: Cross multiply
   23,193x = 31,071.50 × 31,071.50
4. Step 4: Simplify right side
   23,193x = 965,438,112.25
5. Step 5: Solve for x
   x = 965,438,112.25/23,193
6. Step 6: Final answer
   x = 41,626.27