Finding the Third Proportional to 18,009 and 38,685.94

Step by Step Solution

1. Step 1: Write the proportion equation
   18,009 : 38,685.94 = 38,685.94 : x
2. Step 2: Convert to fraction form
   18,009/38,685.94 = 38,685.94/x
3. Step 3: Cross multiply
   18,009x = 38,685.94 × 38,685.94
4. Step 4: Simplify right side
   18,009x = 1,496,601,760.25
5. Step 5: Solve for x
   x = 1,496,601,760.25/18,009
6. Step 6: Final answer
   x = 83,102.99