Finding the Third Proportional to 23,880 and 52,296

Step by Step Solution

1. Step 1: Write the proportion equation
   23,880 : 52,296 = 52,296 : x
2. Step 2: Convert to fraction form
   23,880/52,296 = 52,296/x
3. Step 3: Cross multiply
   23,880x = 52,296 × 52,296
4. Step 4: Simplify right side
   23,880x = 2,734,871,616
5. Step 5: Solve for x
   x = 2,734,871,616/23,880
6. Step 6: Final answer
   x = 114,525.61