Finding the Third Proportional to 38,862.75 and 83,238.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,862.75 : 83,238.38 = 83,238.38 : x
2. Step 2: Convert to fraction form
   38,862.75/83,238.38 = 83,238.38/x
3. Step 3: Cross multiply
   38,862.75x = 83,238.38 × 83,238.38
4. Step 4: Simplify right side
   38,862.75x = 6,928,627,072.64
5. Step 5: Solve for x
   x = 6,928,627,072.64/38,862.75
6. Step 6: Final answer
   x = 178,284.53