Finding the Third Proportional to 33,723 and 49,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,723 : 49,288.50 = 49,288.50 : x
2. Step 2: Convert to fraction form
   33,723/49,288.50 = 49,288.50/x
3. Step 3: Cross multiply
   33,723x = 49,288.50 × 49,288.50
4. Step 4: Simplify right side
   33,723x = 2,429,356,232.25
5. Step 5: Solve for x
   x = 2,429,356,232.25/33,723
6. Step 6: Final answer
   x = 72,038.56