Finding the Third Proportional to 31,212 and 47,215.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,212 : 47,215.50 = 47,215.50 : x
2. Step 2: Convert to fraction form
   31,212/47,215.50 = 47,215.50/x
3. Step 3: Cross multiply
   31,212x = 47,215.50 × 47,215.50
4. Step 4: Simplify right side
   31,212x = 2,229,303,440.25
5. Step 5: Solve for x
   x = 2,229,303,440.25/31,212
6. Step 6: Final answer
   x = 71,424.56