Finding the Third Proportional to 31,605 and 47,488

Step by Step Solution

1. Step 1: Write the proportion equation
   31,605 : 47,488 = 47,488 : x
2. Step 2: Convert to fraction form
   31,605/47,488 = 47,488/x
3. Step 3: Cross multiply
   31,605x = 47,488 × 47,488
4. Step 4: Simplify right side
   31,605x = 2,255,110,144
5. Step 5: Solve for x
   x = 2,255,110,144/31,605
6. Step 6: Final answer
   x = 71,352.96