Finding the Third Proportional to 23,907 and 35,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,907 : 35,698.50 = 35,698.50 : x
2. Step 2: Convert to fraction form
   23,907/35,698.50 = 35,698.50/x
3. Step 3: Cross multiply
   23,907x = 35,698.50 × 35,698.50
4. Step 4: Simplify right side
   23,907x = 1,274,382,902.25
5. Step 5: Solve for x
   x = 1,274,382,902.25/23,907
6. Step 6: Final answer
   x = 53,305.85