Finding the Third Proportional to 31,558 and 69,680

Step by Step Solution

1. Step 1: Write the proportion equation
   31,558 : 69,680 = 69,680 : x
2. Step 2: Convert to fraction form
   31,558/69,680 = 69,680/x
3. Step 3: Cross multiply
   31,558x = 69,680 × 69,680
4. Step 4: Simplify right side
   31,558x = 4,855,302,400
5. Step 5: Solve for x
   x = 4,855,302,400/31,558
6. Step 6: Final answer
   x = 153,853.30