Finding the Third Proportional to 9,616 and 19,250

Step by Step Solution

1. Step 1: Write the proportion equation
   9,616 : 19,250 = 19,250 : x
2. Step 2: Convert to fraction form
   9,616/19,250 = 19,250/x
3. Step 3: Cross multiply
   9,616x = 19,250 × 19,250
4. Step 4: Simplify right side
   9,616x = 370,562,500
5. Step 5: Solve for x
   x = 370,562,500/9,616
6. Step 6: Final answer
   x = 38,536.03