Finding the Third Proportional to 9,274.50 and 19,004.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,274.50 : 19,004.63 = 19,004.63 : x
2. Step 2: Convert to fraction form
   9,274.50/19,004.63 = 19,004.63/x
3. Step 3: Cross multiply
   9,274.50x = 19,004.63 × 19,004.63
4. Step 4: Simplify right side
   9,274.50x = 361,175,771.39
5. Step 5: Solve for x
   x = 361,175,771.39/9,274.50
6. Step 6: Final answer
   x = 38,942.88