Finding the Third Proportional to 10,695.80 and 11,527.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,695.80 : 11,527.31 = 11,527.31 : x
2. Step 2: Convert to fraction form
   10,695.80/11,527.31 = 11,527.31/x
3. Step 3: Cross multiply
   10,695.80x = 11,527.31 × 11,527.31
4. Step 4: Simplify right side
   10,695.80x = 132,878,933.47
5. Step 5: Solve for x
   x = 132,878,933.47/10,695.80
6. Step 6: Final answer
   x = 12,423.47