Finding the Third Proportional to 9,137.25 and 19,684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,137.25 : 19,684.50 = 19,684.50 : x
2. Step 2: Convert to fraction form
   9,137.25/19,684.50 = 19,684.50/x
3. Step 3: Cross multiply
   9,137.25x = 19,684.50 × 19,684.50
4. Step 4: Simplify right side
   9,137.25x = 387,479,540.25
5. Step 5: Solve for x
   x = 387,479,540.25/9,137.25
6. Step 6: Final answer
   x = 42,406.58