Finding the Third Proportional to 19,744 and 46,608.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,744 : 46,608.50 = 46,608.50 : x
2. Step 2: Convert to fraction form
   19,744/46,608.50 = 46,608.50/x
3. Step 3: Cross multiply
   19,744x = 46,608.50 × 46,608.50
4. Step 4: Simplify right side
   19,744x = 2,172,352,272.25
5. Step 5: Solve for x
   x = 2,172,352,272.25/19,744
6. Step 6: Final answer
   x = 110,025.95