Finding the Third Proportional to 23,675 and 35,349.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,675 : 35,349.50 = 35,349.50 : x
2. Step 2: Convert to fraction form
   23,675/35,349.50 = 35,349.50/x
3. Step 3: Cross multiply
   23,675x = 35,349.50 × 35,349.50
4. Step 4: Simplify right side
   23,675x = 1,249,587,150.25
5. Step 5: Solve for x
   x = 1,249,587,150.25/23,675
6. Step 6: Final answer
   x = 52,780.87