Finding the Third Proportional to 10,695.80 and 20,827.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,695.80 : 20,827.76 = 20,827.76 : x
2. Step 2: Convert to fraction form
   10,695.80/20,827.76 = 20,827.76/x
3. Step 3: Cross multiply
   10,695.80x = 20,827.76 × 20,827.76
4. Step 4: Simplify right side
   10,695.80x = 433,795,495.50
5. Step 5: Solve for x
   x = 433,795,495.50/10,695.80
6. Step 6: Final answer
   x = 40,557.57