Finding the Third Proportional to 10,588 and 23,036

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 23,036 = 23,036 : x
2. Step 2: Convert to fraction form
   10,588/23,036 = 23,036/x
3. Step 3: Cross multiply
   10,588x = 23,036 × 23,036
4. Step 4: Simplify right side
   10,588x = 530,657,296
5. Step 5: Solve for x
   x = 530,657,296/10,588
6. Step 6: Final answer
   x = 50,118.75