Finding the Third Proportional to 23,193 and 30,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,193 : 30,523.50 = 30,523.50 : x
2. Step 2: Convert to fraction form
   23,193/30,523.50 = 30,523.50/x
3. Step 3: Cross multiply
   23,193x = 30,523.50 × 30,523.50
4. Step 4: Simplify right side
   23,193x = 931,684,052.25
5. Step 5: Solve for x
   x = 931,684,052.25/23,193
6. Step 6: Final answer
   x = 40,170.92