Finding the Third Proportional to 5,769.56 and 12,492.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,769.56 : 12,492.56 = 12,492.56 : x
2. Step 2: Convert to fraction form
   5,769.56/12,492.56 = 12,492.56/x
3. Step 3: Cross multiply
   5,769.56x = 12,492.56 × 12,492.56
4. Step 4: Simplify right side
   5,769.56x = 156,064,117.82
5. Step 5: Solve for x
   x = 156,064,117.82/5,769.56
6. Step 6: Final answer
   x = 27,049.56