Finding the Third Proportional to 39,096 and 80,869.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,096 : 80,869.50 = 80,869.50 : x
2. Step 2: Convert to fraction form
   39,096/80,869.50 = 80,869.50/x
3. Step 3: Cross multiply
   39,096x = 80,869.50 × 80,869.50
4. Step 4: Simplify right side
   39,096x = 6,539,876,030.25
5. Step 5: Solve for x
   x = 6,539,876,030.25/39,096
6. Step 6: Final answer
   x = 167,277.37