Finding the Third Proportional to 30,798 and 49,600

Step by Step Solution

1. Step 1: Write the proportion equation
   30,798 : 49,600 = 49,600 : x
2. Step 2: Convert to fraction form
   30,798/49,600 = 49,600/x
3. Step 3: Cross multiply
   30,798x = 49,600 × 49,600
4. Step 4: Simplify right side
   30,798x = 2,460,160,000
5. Step 5: Solve for x
   x = 2,460,160,000/30,798
6. Step 6: Final answer
   x = 79,880.51