Finding the Third Proportional to 38,229.75 and 81,381.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,229.75 : 81,381.38 = 81,381.38 : x
2. Step 2: Convert to fraction form
   38,229.75/81,381.38 = 81,381.38/x
3. Step 3: Cross multiply
   38,229.75x = 81,381.38 × 81,381.38
4. Step 4: Simplify right side
   38,229.75x = 6,622,928,196.89
5. Step 5: Solve for x
   x = 6,622,928,196.89/38,229.75
6. Step 6: Final answer
   x = 173,240.16