Finding the Third Proportional to 27,084 and 30,904.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,084 : 30,904.50 = 30,904.50 : x
2. Step 2: Convert to fraction form
   27,084/30,904.50 = 30,904.50/x
3. Step 3: Cross multiply
   27,084x = 30,904.50 × 30,904.50
4. Step 4: Simplify right side
   27,084x = 955,088,120.25
5. Step 5: Solve for x
   x = 955,088,120.25/27,084
6. Step 6: Final answer
   x = 35,263.92