Finding the Third Proportional to 10,585.69 and 25,537.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.69 : 25,537.78 = 25,537.78 : x
2. Step 2: Convert to fraction form
   10,585.69/25,537.78 = 25,537.78/x
3. Step 3: Cross multiply
   10,585.69x = 25,537.78 × 25,537.78
4. Step 4: Simplify right side
   10,585.69x = 652,178,271.17
5. Step 5: Solve for x
   x = 652,178,271.17/10,585.69
6. Step 6: Final answer
   x = 61,609.44