Finding the Third Proportional to 38,385 and 80,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,385 : 80,968.50 = 80,968.50 : x
2. Step 2: Convert to fraction form
   38,385/80,968.50 = 80,968.50/x
3. Step 3: Cross multiply
   38,385x = 80,968.50 × 80,968.50
4. Step 4: Simplify right side
   38,385x = 6,555,897,992.25
5. Step 5: Solve for x
   x = 6,555,897,992.25/38,385
6. Step 6: Final answer
   x = 170,793.23