Finding the Third Proportional to 17,778.38 and 38,358.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,778.38 : 38,358.56 = 38,358.56 : x
2. Step 2: Convert to fraction form
   17,778.38/38,358.56 = 38,358.56/x
3. Step 3: Cross multiply
   17,778.38x = 38,358.56 × 38,358.56
4. Step 4: Simplify right side
   17,778.38x = 1,471,379,317.07
5. Step 5: Solve for x
   x = 1,471,379,317.07/17,778.38
6. Step 6: Final answer
   x = 82,762.31