Finding the Third Proportional to 22,866 and 33,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   22,866 : 33,682.50 = 33,682.50 : x
2. Step 2: Convert to fraction form
   22,866/33,682.50 = 33,682.50/x
3. Step 3: Cross multiply
   22,866x = 33,682.50 × 33,682.50
4. Step 4: Simplify right side
   22,866x = 1,134,510,806.25
5. Step 5: Solve for x
   x = 1,134,510,806.25/22,866
6. Step 6: Final answer
   x = 49,615.62