Finding the Third Proportional to 11,678.24 and 25,765.59

Step by Step Solution

1. Step 1: Write the proportion equation
   11,678.24 : 25,765.59 = 25,765.59 : x
2. Step 2: Convert to fraction form
   11,678.24/25,765.59 = 25,765.59/x
3. Step 3: Cross multiply
   11,678.24x = 25,765.59 × 25,765.59
4. Step 4: Simplify right side
   11,678.24x = 663,865,821.29
5. Step 5: Solve for x
   x = 663,865,821.29/11,678.24
6. Step 6: Final answer
   x = 56,846.40