Finding the Third Proportional to 25,585.50 and 35,826

Step by Step Solution

1. Step 1: Write the proportion equation
   25,585.50 : 35,826 = 35,826 : x
2. Step 2: Convert to fraction form
   25,585.50/35,826 = 35,826/x
3. Step 3: Cross multiply
   25,585.50x = 35,826 × 35,826
4. Step 4: Simplify right side
   25,585.50x = 1,283,502,276
5. Step 5: Solve for x
   x = 1,283,502,276/25,585.50
6. Step 6: Final answer
   x = 50,165.22