Finding the Third Proportional to 11,785.50 and 25,649.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,785.50 : 25,649.16 = 25,649.16 : x
2. Step 2: Convert to fraction form
   11,785.50/25,649.16 = 25,649.16/x
3. Step 3: Cross multiply
   11,785.50x = 25,649.16 × 25,649.16
4. Step 4: Simplify right side
   11,785.50x = 657,879,216.34
5. Step 5: Solve for x
   x = 657,879,216.34/11,785.50
6. Step 6: Final answer
   x = 55,821.07