Finding the Third Proportional to 23,774 and 52,820

Step by Step Solution

1. Step 1: Write the proportion equation
   23,774 : 52,820 = 52,820 : x
2. Step 2: Convert to fraction form
   23,774/52,820 = 52,820/x
3. Step 3: Cross multiply
   23,774x = 52,820 × 52,820
4. Step 4: Simplify right side
   23,774x = 2,789,952,400
5. Step 5: Solve for x
   x = 2,789,952,400/23,774
6. Step 6: Final answer
   x = 117,353.09