Finding the Third Proportional to 27,780 and 60,774

Step by Step Solution

1. Step 1: Write the proportion equation
   27,780 : 60,774 = 60,774 : x
2. Step 2: Convert to fraction form
   27,780/60,774 = 60,774/x
3. Step 3: Cross multiply
   27,780x = 60,774 × 60,774
4. Step 4: Simplify right side
   27,780x = 3,693,479,076
5. Step 5: Solve for x
   x = 3,693,479,076/27,780
6. Step 6: Final answer
   x = 132,954.61