Finding the Third Proportional to 18,096.75 and 38,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   18,096.75 : 38,164.50 = 38,164.50 : x
2. Step 2: Convert to fraction form
   18,096.75/38,164.50 = 38,164.50/x
3. Step 3: Cross multiply
   18,096.75x = 38,164.50 × 38,164.50
4. Step 4: Simplify right side
   18,096.75x = 1,456,529,060.25
5. Step 5: Solve for x
   x = 1,456,529,060.25/18,096.75
6. Step 6: Final answer
   x = 80,485.67