Finding the Third Proportional to 31,798 and 69,068

Step by Step Solution

1. Step 1: Write the proportion equation
   31,798 : 69,068 = 69,068 : x
2. Step 2: Convert to fraction form
   31,798/69,068 = 69,068/x
3. Step 3: Cross multiply
   31,798x = 69,068 × 69,068
4. Step 4: Simplify right side
   31,798x = 4,770,388,624
5. Step 5: Solve for x
   x = 4,770,388,624/31,798
6. Step 6: Final answer
   x = 150,021.66