Finding the Third Proportional to 39,096 and 81,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,096 : 81,094.50 = 81,094.50 : x
2. Step 2: Convert to fraction form
   39,096/81,094.50 = 81,094.50/x
3. Step 3: Cross multiply
   39,096x = 81,094.50 × 81,094.50
4. Step 4: Simplify right side
   39,096x = 6,576,317,930.25
5. Step 5: Solve for x
   x = 6,576,317,930.25/39,096
6. Step 6: Final answer
   x = 168,209.48