Finding the Third Proportional to 9,148.25 and 19,683.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,148.25 : 19,683.50 = 19,683.50 : x
2. Step 2: Convert to fraction form
   9,148.25/19,683.50 = 19,683.50/x
3. Step 3: Cross multiply
   9,148.25x = 19,683.50 × 19,683.50
4. Step 4: Simplify right side
   9,148.25x = 387,440,172.25
5. Step 5: Solve for x
   x = 387,440,172.25/9,148.25
6. Step 6: Final answer
   x = 42,351.29