Finding the Third Proportional to 5,688.56 and 13,289.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,688.56 : 13,289.06 = 13,289.06 : x
2. Step 2: Convert to fraction form
   5,688.56/13,289.06 = 13,289.06/x
3. Step 3: Cross multiply
   5,688.56x = 13,289.06 × 13,289.06
4. Step 4: Simplify right side
   5,688.56x = 176,599,182.13
5. Step 5: Solve for x
   x = 176,599,182.13/5,688.56
6. Step 6: Final answer
   x = 31,044.61