Finding the Third Proportional to 31,758 and 69,564

Step by Step Solution

1. Step 1: Write the proportion equation
   31,758 : 69,564 = 69,564 : x
2. Step 2: Convert to fraction form
   31,758/69,564 = 69,564/x
3. Step 3: Cross multiply
   31,758x = 69,564 × 69,564
4. Step 4: Simplify right side
   31,758x = 4,839,150,096
5. Step 5: Solve for x
   x = 4,839,150,096/31,758
6. Step 6: Final answer
   x = 152,375.78