Finding the Third Proportional to 5,683.50 and 13,275.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,683.50 : 13,275.56 = 13,275.56 : x
2. Step 2: Convert to fraction form
   5,683.50/13,275.56 = 13,275.56/x
3. Step 3: Cross multiply
   5,683.50x = 13,275.56 × 13,275.56
4. Step 4: Simplify right side
   5,683.50x = 176,240,559.69
5. Step 5: Solve for x
   x = 176,240,559.69/5,683.50
6. Step 6: Final answer
   x = 31,009.16