Finding the Third Proportional to 2,464 and 3,696.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464 : 3,696.25 = 3,696.25 : x
2. Step 2: Convert to fraction form
   2,464/3,696.25 = 3,696.25/x
3. Step 3: Cross multiply
   2,464x = 3,696.25 × 3,696.25
4. Step 4: Simplify right side
   2,464x = 13,662,264.06
5. Step 5: Solve for x
   x = 13,662,264.06/2,464
6. Step 6: Final answer
   x = 5,544.75