Finding the Third Proportional to 23,013 and 35,635.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,013 : 35,635.50 = 35,635.50 : x
2. Step 2: Convert to fraction form
   23,013/35,635.50 = 35,635.50/x
3. Step 3: Cross multiply
   23,013x = 35,635.50 × 35,635.50
4. Step 4: Simplify right side
   23,013x = 1,269,888,860.25
5. Step 5: Solve for x
   x = 1,269,888,860.25/23,013
6. Step 6: Final answer
   x = 55,181.37