Finding the Third Proportional to 38,240.81 and 82,017.38

Step by Step Solution

1. Step 1: Write the proportion equation
   38,240.81 : 82,017.38 = 82,017.38 : x
2. Step 2: Convert to fraction form
   38,240.81/82,017.38 = 82,017.38/x
3. Step 3: Cross multiply
   38,240.81x = 82,017.38 × 82,017.38
4. Step 4: Simplify right side
   38,240.81x = 6,726,849,801.89
5. Step 5: Solve for x
   x = 6,726,849,801.89/38,240.81
6. Step 6: Final answer
   x = 175,907.61