Finding the Third Proportional to 10,820 and 23,596

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 23,596 = 23,596 : x
2. Step 2: Convert to fraction form
   10,820/23,596 = 23,596/x
3. Step 3: Cross multiply
   10,820x = 23,596 × 23,596
4. Step 4: Simplify right side
   10,820x = 556,771,216
5. Step 5: Solve for x
   x = 556,771,216/10,820
6. Step 6: Final answer
   x = 51,457.60