Finding the Third Proportional to 11,538 and 25,151.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,538 : 25,151.63 = 25,151.63 : x
2. Step 2: Convert to fraction form
   11,538/25,151.63 = 25,151.63/x
3. Step 3: Cross multiply
   11,538x = 25,151.63 × 25,151.63
4. Step 4: Simplify right side
   11,538x = 632,604,240.14
5. Step 5: Solve for x
   x = 632,604,240.14/11,538
6. Step 6: Final answer
   x = 54,827.89