Finding the Third Proportional to 34,680 and 53,581

Step by Step Solution

1. Step 1: Write the proportion equation
   34,680 : 53,581 = 53,581 : x
2. Step 2: Convert to fraction form
   34,680/53,581 = 53,581/x
3. Step 3: Cross multiply
   34,680x = 53,581 × 53,581
4. Step 4: Simplify right side
   34,680x = 2,870,923,561
5. Step 5: Solve for x
   x = 2,870,923,561/34,680
6. Step 6: Final answer
   x = 82,783.26