Finding the Third Proportional to 10,464 and 23,880

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464 : 23,880 = 23,880 : x
2. Step 2: Convert to fraction form
   10,464/23,880 = 23,880/x
3. Step 3: Cross multiply
   10,464x = 23,880 × 23,880
4. Step 4: Simplify right side
   10,464x = 570,254,400
5. Step 5: Solve for x
   x = 570,254,400/10,464
6. Step 6: Final answer
   x = 54,496.79