Finding the Third Proportional to 24,087 and 31,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,087 : 31,960.50 = 31,960.50 : x
2. Step 2: Convert to fraction form
   24,087/31,960.50 = 31,960.50/x
3. Step 3: Cross multiply
   24,087x = 31,960.50 × 31,960.50
4. Step 4: Simplify right side
   24,087x = 1,021,473,560.25
5. Step 5: Solve for x
   x = 1,021,473,560.25/24,087
6. Step 6: Final answer
   x = 42,407.67