Finding the Third Proportional to 17,769.38 and 38,309.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,769.38 : 38,309.63 = 38,309.63 : x
2. Step 2: Convert to fraction form
   17,769.38/38,309.63 = 38,309.63/x
3. Step 3: Cross multiply
   17,769.38x = 38,309.63 × 38,309.63
4. Step 4: Simplify right side
   17,769.38x = 1,467,627,367.64
5. Step 5: Solve for x
   x = 1,467,627,367.64/17,769.38
6. Step 6: Final answer
   x = 82,593.08