Finding the Third Proportional to 10,393.38 and 19,829.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,393.38 : 19,829.88 = 19,829.88 : x
2. Step 2: Convert to fraction form
   10,393.38/19,829.88 = 19,829.88/x
3. Step 3: Cross multiply
   10,393.38x = 19,829.88 × 19,829.88
4. Step 4: Simplify right side
   10,393.38x = 393,223,942.52
5. Step 5: Solve for x
   x = 393,223,942.52/10,393.38
6. Step 6: Final answer
   x = 37,834.10