Finding the Third Proportional to 11,002 and 25,963

Step by Step Solution

1. Step 1: Write the proportion equation
   11,002 : 25,963 = 25,963 : x
2. Step 2: Convert to fraction form
   11,002/25,963 = 25,963/x
3. Step 3: Cross multiply
   11,002x = 25,963 × 25,963
4. Step 4: Simplify right side
   11,002x = 674,077,369
5. Step 5: Solve for x
   x = 674,077,369/11,002
6. Step 6: Final answer
   x = 61,268.62