Finding the Third Proportional to 11,780.25 and 25,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,780.25 : 25,641.75 = 25,641.75 : x
2. Step 2: Convert to fraction form
   11,780.25/25,641.75 = 25,641.75/x
3. Step 3: Cross multiply
   11,780.25x = 25,641.75 × 25,641.75
4. Step 4: Simplify right side
   11,780.25x = 657,499,343.06
5. Step 5: Solve for x
   x = 657,499,343.06/11,780.25
6. Step 6: Final answer
   x = 55,813.70