Finding the Third Proportional to 36,004 and 74,774

Step by Step Solution

1. Step 1: Write the proportion equation
   36,004 : 74,774 = 74,774 : x
2. Step 2: Convert to fraction form
   36,004/74,774 = 74,774/x
3. Step 3: Cross multiply
   36,004x = 74,774 × 74,774
4. Step 4: Simplify right side
   36,004x = 5,591,151,076
5. Step 5: Solve for x
   x = 5,591,151,076/36,004
6. Step 6: Final answer
   x = 155,292.50