Finding the Third Proportional to 38,238.33 and 82,013.77

Step by Step Solution

1. Step 1: Write the proportion equation
   38,238.33 : 82,013.77 = 82,013.77 : x
2. Step 2: Convert to fraction form
   38,238.33/82,013.77 = 82,013.77/x
3. Step 3: Cross multiply
   38,238.33x = 82,013.77 × 82,013.77
4. Step 4: Simplify right side
   38,238.33x = 6,726,257,751.99
5. Step 5: Solve for x
   x = 6,726,257,751.99/38,238.33
6. Step 6: Final answer
   x = 175,903.55