Finding the Third Proportional to 17,769.38 and 23,783.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,769.38 : 23,783.63 = 23,783.63 : x
2. Step 2: Convert to fraction form
   17,769.38/23,783.63 = 23,783.63/x
3. Step 3: Cross multiply
   17,769.38x = 23,783.63 × 23,783.63
4. Step 4: Simplify right side
   17,769.38x = 565,660,818.14
5. Step 5: Solve for x
   x = 565,660,818.14/17,769.38
6. Step 6: Final answer
   x = 31,833.47