Finding the Third Proportional to 31,717 and 69,084.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,717 : 69,084.50 = 69,084.50 : x
2. Step 2: Convert to fraction form
   31,717/69,084.50 = 69,084.50/x
3. Step 3: Cross multiply
   31,717x = 69,084.50 × 69,084.50
4. Step 4: Simplify right side
   31,717x = 4,772,668,140.25
5. Step 5: Solve for x
   x = 4,772,668,140.25/31,717
6. Step 6: Final answer
   x = 150,476.66