Finding the Third Proportional to 38,638.69 and 82,380.56

Step by Step Solution

1. Step 1: Write the proportion equation
   38,638.69 : 82,380.56 = 82,380.56 : x
2. Step 2: Convert to fraction form
   38,638.69/82,380.56 = 82,380.56/x
3. Step 3: Cross multiply
   38,638.69x = 82,380.56 × 82,380.56
4. Step 4: Simplify right side
   38,638.69x = 6,786,557,077.82
5. Step 5: Solve for x
   x = 6,786,557,077.82/38,638.69
6. Step 6: Final answer
   x = 175,641.50