Finding the Third Proportional to 14,571 and 31,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,571 : 31,786.50 = 31,786.50 : x
2. Step 2: Convert to fraction form
   14,571/31,786.50 = 31,786.50/x
3. Step 3: Cross multiply
   14,571x = 31,786.50 × 31,786.50
4. Step 4: Simplify right side
   14,571x = 1,010,381,582.25
5. Step 5: Solve for x
   x = 1,010,381,582.25/14,571
6. Step 6: Final answer
   x = 69,341.95