Finding the Third Proportional to 10,424 and 23,600

Step by Step Solution

1. Step 1: Write the proportion equation
   10,424 : 23,600 = 23,600 : x
2. Step 2: Convert to fraction form
   10,424/23,600 = 23,600/x
3. Step 3: Cross multiply
   10,424x = 23,600 × 23,600
4. Step 4: Simplify right side
   10,424x = 556,960,000
5. Step 5: Solve for x
   x = 556,960,000/10,424
6. Step 6: Final answer
   x = 53,430.54