Finding the Third Proportional to 31,800 and 47,688

Step by Step Solution

1. Step 1: Write the proportion equation
   31,800 : 47,688 = 47,688 : x
2. Step 2: Convert to fraction form
   31,800/47,688 = 47,688/x
3. Step 3: Cross multiply
   31,800x = 47,688 × 47,688
4. Step 4: Simplify right side
   31,800x = 2,274,145,344
5. Step 5: Solve for x
   x = 2,274,145,344/31,800
6. Step 6: Final answer
   x = 71,514.00