Finding the Third Proportional to 27,084 and 33,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,084 : 33,091.50 = 33,091.50 : x
2. Step 2: Convert to fraction form
   27,084/33,091.50 = 33,091.50/x
3. Step 3: Cross multiply
   27,084x = 33,091.50 × 33,091.50
4. Step 4: Simplify right side
   27,084x = 1,095,047,372.25
5. Step 5: Solve for x
   x = 1,095,047,372.25/27,084
6. Step 6: Final answer
   x = 40,431.52