Finding the Third Proportional to 23,880 and 52,077

Step by Step Solution

1. Step 1: Write the proportion equation
   23,880 : 52,077 = 52,077 : x
2. Step 2: Convert to fraction form
   23,880/52,077 = 52,077/x
3. Step 3: Cross multiply
   23,880x = 52,077 × 52,077
4. Step 4: Simplify right side
   23,880x = 2,712,013,929
5. Step 5: Solve for x
   x = 2,712,013,929/23,880
6. Step 6: Final answer
   x = 113,568.42