Finding the Third Proportional to 9,212 and 19,629.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,212 : 19,629.50 = 19,629.50 : x
2. Step 2: Convert to fraction form
   9,212/19,629.50 = 19,629.50/x
3. Step 3: Cross multiply
   9,212x = 19,629.50 × 19,629.50
4. Step 4: Simplify right side
   9,212x = 385,317,270.25
5. Step 5: Solve for x
   x = 385,317,270.25/9,212
6. Step 6: Final answer
   x = 41,827.75