Finding the Third Proportional to 5,774.63 and 12,585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,774.63 : 12,585.38 = 12,585.38 : x
2. Step 2: Convert to fraction form
   5,774.63/12,585.38 = 12,585.38/x
3. Step 3: Cross multiply
   5,774.63x = 12,585.38 × 12,585.38
4. Step 4: Simplify right side
   5,774.63x = 158,391,663.89
5. Step 5: Solve for x
   x = 158,391,663.89/5,774.63
6. Step 6: Final answer
   x = 27,428.91