Finding the Third Proportional to 38,424 and 78,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,424 : 78,745.50 = 78,745.50 : x
2. Step 2: Convert to fraction form
   38,424/78,745.50 = 78,745.50/x
3. Step 3: Cross multiply
   38,424x = 78,745.50 × 78,745.50
4. Step 4: Simplify right side
   38,424x = 6,200,853,770.25
5. Step 5: Solve for x
   x = 6,200,853,770.25/38,424
6. Step 6: Final answer
   x = 161,379.70