Finding the Third Proportional to 38,800.69 and 82,757.53

Step by Step Solution

1. Step 1: Write the proportion equation
   38,800.69 : 82,757.53 = 82,757.53 : x
2. Step 2: Convert to fraction form
   38,800.69/82,757.53 = 82,757.53/x
3. Step 3: Cross multiply
   38,800.69x = 82,757.53 × 82,757.53
4. Step 4: Simplify right side
   38,800.69x = 6,848,808,978.59
5. Step 5: Solve for x
   x = 6,848,808,978.59/38,800.69
6. Step 6: Final answer
   x = 176,512.57