Finding the Third Proportional to 30,798 and 67,356

Step by Step Solution

1. Step 1: Write the proportion equation
   30,798 : 67,356 = 67,356 : x
2. Step 2: Convert to fraction form
   30,798/67,356 = 67,356/x
3. Step 3: Cross multiply
   30,798x = 67,356 × 67,356
4. Step 4: Simplify right side
   30,798x = 4,536,830,736
5. Step 5: Solve for x
   x = 4,536,830,736/30,798
6. Step 6: Final answer
   x = 147,309.26