Finding the Third Proportional to 33,678 and 52,366.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,678 : 52,366.50 = 52,366.50 : x
2. Step 2: Convert to fraction form
   33,678/52,366.50 = 52,366.50/x
3. Step 3: Cross multiply
   33,678x = 52,366.50 × 52,366.50
4. Step 4: Simplify right side
   33,678x = 2,742,250,322.25
5. Step 5: Solve for x
   x = 2,742,250,322.25/33,678
6. Step 6: Final answer
   x = 81,425.57