Finding the Third Proportional to 19,744 and 31,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,744 : 31,258.50 = 31,258.50 : x
2. Step 2: Convert to fraction form
   19,744/31,258.50 = 31,258.50/x
3. Step 3: Cross multiply
   19,744x = 31,258.50 × 31,258.50
4. Step 4: Simplify right side
   19,744x = 977,093,822.25
5. Step 5: Solve for x
   x = 977,093,822.25/19,744
6. Step 6: Final answer
   x = 49,488.14