Finding the Third Proportional to 39,096 and 84,271.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,096 : 84,271.50 = 84,271.50 : x
2. Step 2: Convert to fraction form
   39,096/84,271.50 = 84,271.50/x
3. Step 3: Cross multiply
   39,096x = 84,271.50 × 84,271.50
4. Step 4: Simplify right side
   39,096x = 7,101,685,712.25
5. Step 5: Solve for x
   x = 7,101,685,712.25/39,096
6. Step 6: Final answer
   x = 181,647.37