Finding the Third Proportional to 11,516 and 25,264

Step by Step Solution

1. Step 1: Write the proportion equation
   11,516 : 25,264 = 25,264 : x
2. Step 2: Convert to fraction form
   11,516/25,264 = 25,264/x
3. Step 3: Cross multiply
   11,516x = 25,264 × 25,264
4. Step 4: Simplify right side
   11,516x = 638,269,696
5. Step 5: Solve for x
   x = 638,269,696/11,516
6. Step 6: Final answer
   x = 55,424.60