Finding the Third Proportional to 38,368.69 and 78,595.31

Step by Step Solution

1. Step 1: Write the proportion equation
   38,368.69 : 78,595.31 = 78,595.31 : x
2. Step 2: Convert to fraction form
   38,368.69/78,595.31 = 78,595.31/x
3. Step 3: Cross multiply
   38,368.69x = 78,595.31 × 78,595.31
4. Step 4: Simplify right side
   38,368.69x = 6,177,223,146.97
5. Step 5: Solve for x
   x = 6,177,223,146.97/38,368.69
6. Step 6: Final answer
   x = 160,996.47