Finding the Third Proportional to 11,780 and 25,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780 : 25,194.50 = 25,194.50 : x
2. Step 2: Convert to fraction form
   11,780/25,194.50 = 25,194.50/x
3. Step 3: Cross multiply
   11,780x = 25,194.50 × 25,194.50
4. Step 4: Simplify right side
   11,780x = 634,762,830.25
5. Step 5: Solve for x
   x = 634,762,830.25/11,780
6. Step 6: Final answer
   x = 53,884.79