Finding the Third Proportional to 28,533 and 68,738.50

Step by Step Solution

1. Step 1: Write the proportion equation
   28,533 : 68,738.50 = 68,738.50 : x
2. Step 2: Convert to fraction form
   28,533/68,738.50 = 68,738.50/x
3. Step 3: Cross multiply
   28,533x = 68,738.50 × 68,738.50
4. Step 4: Simplify right side
   28,533x = 4,724,981,382.25
5. Step 5: Solve for x
   x = 4,724,981,382.25/28,533
6. Step 6: Final answer
   x = 165,597.08