Finding the Third Proportional to 9,793.41 and 19,381.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,793.41 : 19,381.78 = 19,381.78 : x
2. Step 2: Convert to fraction form
   9,793.41/19,381.78 = 19,381.78/x
3. Step 3: Cross multiply
   9,793.41x = 19,381.78 × 19,381.78
4. Step 4: Simplify right side
   9,793.41x = 375,653,444.42
5. Step 5: Solve for x
   x = 375,653,444.42/9,793.41
6. Step 6: Final answer
   x = 38,357.79