Finding the Third Proportional to 46,570 and 73,774

Step by Step Solution

1. Step 1: Write the proportion equation
   46,570 : 73,774 = 73,774 : x
2. Step 2: Convert to fraction form
   46,570/73,774 = 73,774/x
3. Step 3: Cross multiply
   46,570x = 73,774 × 73,774
4. Step 4: Simplify right side
   46,570x = 5,442,603,076
5. Step 5: Solve for x
   x = 5,442,603,076/46,570
6. Step 6: Final answer
   x = 116,869.30