Finding the Third Proportional to 31,209 and 47,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,209 : 47,209.50 = 47,209.50 : x
2. Step 2: Convert to fraction form
   31,209/47,209.50 = 47,209.50/x
3. Step 3: Cross multiply
   31,209x = 47,209.50 × 47,209.50
4. Step 4: Simplify right side
   31,209x = 2,228,736,890.25
5. Step 5: Solve for x
   x = 2,228,736,890.25/31,209
6. Step 6: Final answer
   x = 71,413.27