Finding the Third Proportional to 17,823.38 and 38,034.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,823.38 : 38,034.56 = 38,034.56 : x
2. Step 2: Convert to fraction form
   17,823.38/38,034.56 = 38,034.56/x
3. Step 3: Cross multiply
   17,823.38x = 38,034.56 × 38,034.56
4. Step 4: Simplify right side
   17,823.38x = 1,446,627,944.57
5. Step 5: Solve for x
   x = 1,446,627,944.57/17,823.38
6. Step 6: Final answer
   x = 81,164.65