Finding the Third Proportional to 23,583 and 35,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,583 : 35,371.50 = 35,371.50 : x
2. Step 2: Convert to fraction form
   23,583/35,371.50 = 35,371.50/x
3. Step 3: Cross multiply
   23,583x = 35,371.50 × 35,371.50
4. Step 4: Simplify right side
   23,583x = 1,251,143,012.25
5. Step 5: Solve for x
   x = 1,251,143,012.25/23,583
6. Step 6: Final answer
   x = 53,052.75