Finding the Third Proportional to 10,525 and 23,033

Step by Step Solution

1. Step 1: Write the proportion equation
   10,525 : 23,033 = 23,033 : x
2. Step 2: Convert to fraction form
   10,525/23,033 = 23,033/x
3. Step 3: Cross multiply
   10,525x = 23,033 × 23,033
4. Step 4: Simplify right side
   10,525x = 530,519,089
5. Step 5: Solve for x
   x = 530,519,089/10,525
6. Step 6: Final answer
   x = 50,405.61