Finding the Third Proportional to 38,368.69 and 78,582.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,368.69 : 78,582.38 = 78,582.38 : x
2. Step 2: Convert to fraction form
   38,368.69/78,582.38 = 78,582.38/x
3. Step 3: Cross multiply
   38,368.69x = 78,582.38 × 78,582.38
4. Step 4: Simplify right side
   38,368.69x = 6,175,189,660.64
5. Step 5: Solve for x
   x = 6,175,189,660.64/38,368.69
6. Step 6: Final answer
   x = 160,943.47