Finding the Third Proportional to 11,461.50 and 24,647.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,461.50 : 24,647.63 = 24,647.63 : x
2. Step 2: Convert to fraction form
   11,461.50/24,647.63 = 24,647.63/x
3. Step 3: Cross multiply
   11,461.50x = 24,647.63 × 24,647.63
4. Step 4: Simplify right side
   11,461.50x = 607,505,418.14
5. Step 5: Solve for x
   x = 607,505,418.14/11,461.50
6. Step 6: Final answer
   x = 53,004.01