Finding the Third Proportional to 36,774 and 55,566

Step by Step Solution

1. Step 1: Write the proportion equation
   36,774 : 55,566 = 55,566 : x
2. Step 2: Convert to fraction form
   36,774/55,566 = 55,566/x
3. Step 3: Cross multiply
   36,774x = 55,566 × 55,566
4. Step 4: Simplify right side
   36,774x = 3,087,580,356
5. Step 5: Solve for x
   x = 3,087,580,356/36,774
6. Step 6: Final answer
   x = 83,960.96