Finding the Third Proportional to 10,412 and 23,582

Step by Step Solution

1. Step 1: Write the proportion equation
   10,412 : 23,582 = 23,582 : x
2. Step 2: Convert to fraction form
   10,412/23,582 = 23,582/x
3. Step 3: Cross multiply
   10,412x = 23,582 × 23,582
4. Step 4: Simplify right side
   10,412x = 556,110,724
5. Step 5: Solve for x
   x = 556,110,724/10,412
6. Step 6: Final answer
   x = 53,410.56