Finding the Third Proportional to 38,151 and 88,391.25

Step by Step Solution

1. Step 1: Write the proportion equation
   38,151 : 88,391.25 = 88,391.25 : x
2. Step 2: Convert to fraction form
   38,151/88,391.25 = 88,391.25/x
3. Step 3: Cross multiply
   38,151x = 88,391.25 × 88,391.25
4. Step 4: Simplify right side
   38,151x = 7,813,013,076.56
5. Step 5: Solve for x
   x = 7,813,013,076.56/38,151
6. Step 6: Final answer
   x = 204,791.83