Finding the Third Proportional to 31,976 and 69,386

Step by Step Solution

1. Step 1: Write the proportion equation
   31,976 : 69,386 = 69,386 : x
2. Step 2: Convert to fraction form
   31,976/69,386 = 69,386/x
3. Step 3: Cross multiply
   31,976x = 69,386 × 69,386
4. Step 4: Simplify right side
   31,976x = 4,814,416,996
5. Step 5: Solve for x
   x = 4,814,416,996/31,976
6. Step 6: Final answer
   x = 150,563.45