Finding the Third Proportional to 38,138.25 and 78,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,138.25 : 78,928.50 = 78,928.50 : x
2. Step 2: Convert to fraction form
   38,138.25/78,928.50 = 78,928.50/x
3. Step 3: Cross multiply
   38,138.25x = 78,928.50 × 78,928.50
4. Step 4: Simplify right side
   38,138.25x = 6,229,708,112.25
5. Step 5: Solve for x
   x = 6,229,708,112.25/38,138.25
6. Step 6: Final answer
   x = 163,345.41