Finding the Third Proportional to 31,584 and 69,400

Step by Step Solution

1. Step 1: Write the proportion equation
   31,584 : 69,400 = 69,400 : x
2. Step 2: Convert to fraction form
   31,584/69,400 = 69,400/x
3. Step 3: Cross multiply
   31,584x = 69,400 × 69,400
4. Step 4: Simplify right side
   31,584x = 4,816,360,000
5. Step 5: Solve for x
   x = 4,816,360,000/31,584
6. Step 6: Final answer
   x = 152,493.67