Finding the Third Proportional to 31,768 and 69,758

Step by Step Solution

1. Step 1: Write the proportion equation
   31,768 : 69,758 = 69,758 : x
2. Step 2: Convert to fraction form
   31,768/69,758 = 69,758/x
3. Step 3: Cross multiply
   31,768x = 69,758 × 69,758
4. Step 4: Simplify right side
   31,768x = 4,866,178,564
5. Step 5: Solve for x
   x = 4,866,178,564/31,768
6. Step 6: Final answer
   x = 153,178.63