Finding the Third Proportional to 11,646 and 25,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,646 : 25,465.50 = 25,465.50 : x
2. Step 2: Convert to fraction form
   11,646/25,465.50 = 25,465.50/x
3. Step 3: Cross multiply
   11,646x = 25,465.50 × 25,465.50
4. Step 4: Simplify right side
   11,646x = 648,491,690.25
5. Step 5: Solve for x
   x = 648,491,690.25/11,646
6. Step 6: Final answer
   x = 55,683.64