Finding the Third Proportional to 42,744.50 and 92,733.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,744.50 : 92,733.50 = 92,733.50 : x
2. Step 2: Convert to fraction form
   42,744.50/92,733.50 = 92,733.50/x
3. Step 3: Cross multiply
   42,744.50x = 92,733.50 × 92,733.50
4. Step 4: Simplify right side
   42,744.50x = 8,599,502,022.25
5. Step 5: Solve for x
   x = 8,599,502,022.25/42,744.50
6. Step 6: Final answer
   x = 201,183.83