Finding the Third Proportional to 24,084 and 31,965.75

Step by Step Solution

1. Step 1: Write the proportion equation
   24,084 : 31,965.75 = 31,965.75 : x
2. Step 2: Convert to fraction form
   24,084/31,965.75 = 31,965.75/x
3. Step 3: Cross multiply
   24,084x = 31,965.75 × 31,965.75
4. Step 4: Simplify right side
   24,084x = 1,021,809,173.06
5. Step 5: Solve for x
   x = 1,021,809,173.06/24,084
6. Step 6: Final answer
   x = 42,426.89