Finding the Third Proportional to 38,960 and 82,774

Step by Step Solution

1. Step 1: Write the proportion equation
   38,960 : 82,774 = 82,774 : x
2. Step 2: Convert to fraction form
   38,960/82,774 = 82,774/x
3. Step 3: Cross multiply
   38,960x = 82,774 × 82,774
4. Step 4: Simplify right side
   38,960x = 6,851,535,076
5. Step 5: Solve for x
   x = 6,851,535,076/38,960
6. Step 6: Final answer
   x = 175,860.76