Finding the Third Proportional to 11,799 and 25,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,799 : 25,744.50 = 25,744.50 : x
2. Step 2: Convert to fraction form
   11,799/25,744.50 = 25,744.50/x
3. Step 3: Cross multiply
   11,799x = 25,744.50 × 25,744.50
4. Step 4: Simplify right side
   11,799x = 662,779,280.25
5. Step 5: Solve for x
   x = 662,779,280.25/11,799
6. Step 6: Final answer
   x = 56,172.50