Finding the Third Proportional to 31,788 and 47,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   31,788 : 47,648.25 = 47,648.25 : x
2. Step 2: Convert to fraction form
   31,788/47,648.25 = 47,648.25/x
3. Step 3: Cross multiply
   31,788x = 47,648.25 × 47,648.25
4. Step 4: Simplify right side
   31,788x = 2,270,355,728.06
5. Step 5: Solve for x
   x = 2,270,355,728.06/31,788
6. Step 6: Final answer
   x = 71,421.79