Finding the Third Proportional to 31,758 and 69,742

Step by Step Solution

1. Step 1: Write the proportion equation
   31,758 : 69,742 = 69,742 : x
2. Step 2: Convert to fraction form
   31,758/69,742 = 69,742/x
3. Step 3: Cross multiply
   31,758x = 69,742 × 69,742
4. Step 4: Simplify right side
   31,758x = 4,863,946,564
5. Step 5: Solve for x
   x = 4,863,946,564/31,758
6. Step 6: Final answer
   x = 153,156.58