Finding the Third Proportional to 23,599 and 35,452.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,599 : 35,452.50 = 35,452.50 : x
2. Step 2: Convert to fraction form
   23,599/35,452.50 = 35,452.50/x
3. Step 3: Cross multiply
   23,599x = 35,452.50 × 35,452.50
4. Step 4: Simplify right side
   23,599x = 1,256,879,756.25
5. Step 5: Solve for x
   x = 1,256,879,756.25/23,599
6. Step 6: Final answer
   x = 53,259.87