Finding the Third Proportional to 11,827 and 25,501

Step by Step Solution

1. Step 1: Write the proportion equation
   11,827 : 25,501 = 25,501 : x
2. Step 2: Convert to fraction form
   11,827/25,501 = 25,501/x
3. Step 3: Cross multiply
   11,827x = 25,501 × 25,501
4. Step 4: Simplify right side
   11,827x = 650,301,001
5. Step 5: Solve for x
   x = 650,301,001/11,827
6. Step 6: Final answer
   x = 54,984.44