Finding the Third Proportional to 39,788 and 55,774

Step by Step Solution

1. Step 1: Write the proportion equation
   39,788 : 55,774 = 55,774 : x
2. Step 2: Convert to fraction form
   39,788/55,774 = 55,774/x
3. Step 3: Cross multiply
   39,788x = 55,774 × 55,774
4. Step 4: Simplify right side
   39,788x = 3,110,739,076
5. Step 5: Solve for x
   x = 3,110,739,076/39,788
6. Step 6: Final answer
   x = 78,182.85