Finding the Third Proportional to 9,793.41 and 17,642.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,793.41 : 17,642.81 = 17,642.81 : x
2. Step 2: Convert to fraction form
   9,793.41/17,642.81 = 17,642.81/x
3. Step 3: Cross multiply
   9,793.41x = 17,642.81 × 17,642.81
4. Step 4: Simplify right side
   9,793.41x = 311,268,832.91
5. Step 5: Solve for x
   x = 311,268,832.91/9,793.41
6. Step 6: Final answer
   x = 31,783.51