Finding the Third Proportional to 31,680 and 47,028

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 47,028 = 47,028 : x
2. Step 2: Convert to fraction form
   31,680/47,028 = 47,028/x
3. Step 3: Cross multiply
   31,680x = 47,028 × 47,028
4. Step 4: Simplify right side
   31,680x = 2,211,632,784
5. Step 5: Solve for x
   x = 2,211,632,784/31,680
6. Step 6: Final answer
   x = 69,811.64