Finding the Third Proportional to 23,578 and 31,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,578 : 31,144.50 = 31,144.50 : x
2. Step 2: Convert to fraction form
   23,578/31,144.50 = 31,144.50/x
3. Step 3: Cross multiply
   23,578x = 31,144.50 × 31,144.50
4. Step 4: Simplify right side
   23,578x = 969,979,880.25
5. Step 5: Solve for x
   x = 969,979,880.25/23,578
6. Step 6: Final answer
   x = 41,139.19