Finding the Third Proportional to 31,734 and 69,696

Step by Step Solution

1. Step 1: Write the proportion equation
   31,734 : 69,696 = 69,696 : x
2. Step 2: Convert to fraction form
   31,734/69,696 = 69,696/x
3. Step 3: Cross multiply
   31,734x = 69,696 × 69,696
4. Step 4: Simplify right side
   31,734x = 4,857,532,416
5. Step 5: Solve for x
   x = 4,857,532,416/31,734
6. Step 6: Final answer
   x = 153,070.28