Finding the Third Proportional to 10,817 and 23,361.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,817 : 23,361.50 = 23,361.50 : x
2. Step 2: Convert to fraction form
   10,817/23,361.50 = 23,361.50/x
3. Step 3: Cross multiply
   10,817x = 23,361.50 × 23,361.50
4. Step 4: Simplify right side
   10,817x = 545,759,682.25
5. Step 5: Solve for x
   x = 545,759,682.25/10,817
6. Step 6: Final answer
   x = 50,453.89