Finding the Third Proportional to 17,769.38 and 27,512.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,769.38 : 27,512.63 = 27,512.63 : x
2. Step 2: Convert to fraction form
   17,769.38/27,512.63 = 27,512.63/x
3. Step 3: Cross multiply
   17,769.38x = 27,512.63 × 27,512.63
4. Step 4: Simplify right side
   17,769.38x = 756,944,856.80
5. Step 5: Solve for x
   x = 756,944,856.80/17,769.38
6. Step 6: Final answer
   x = 42,598.28