Finding the Third Proportional to 27,798 and 65,578

Step by Step Solution

1. Step 1: Write the proportion equation
   27,798 : 65,578 = 65,578 : x
2. Step 2: Convert to fraction form
   27,798/65,578 = 65,578/x
3. Step 3: Cross multiply
   27,798x = 65,578 × 65,578
4. Step 4: Simplify right side
   27,798x = 4,300,474,084
5. Step 5: Solve for x
   x = 4,300,474,084/27,798
6. Step 6: Final answer
   x = 154,704.44