Finding the Third Proportional to 29,774 and 65,500

Step by Step Solution

1. Step 1: Write the proportion equation
   29,774 : 65,500 = 65,500 : x
2. Step 2: Convert to fraction form
   29,774/65,500 = 65,500/x
3. Step 3: Cross multiply
   29,774x = 65,500 × 65,500
4. Step 4: Simplify right side
   29,774x = 4,290,250,000
5. Step 5: Solve for x
   x = 4,290,250,000/29,774
6. Step 6: Final answer
   x = 144,093.84