Finding the Third Proportional to 32,774 and 77,036

Step by Step Solution

1. Step 1: Write the proportion equation
   32,774 : 77,036 = 77,036 : x
2. Step 2: Convert to fraction form
   32,774/77,036 = 77,036/x
3. Step 3: Cross multiply
   32,774x = 77,036 × 77,036
4. Step 4: Simplify right side
   32,774x = 5,934,545,296
5. Step 5: Solve for x
   x = 5,934,545,296/32,774
6. Step 6: Final answer
   x = 181,074.79