Finding the Third Proportional to 11,843 and 25,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,843 : 25,327.50 = 25,327.50 : x
2. Step 2: Convert to fraction form
   11,843/25,327.50 = 25,327.50/x
3. Step 3: Cross multiply
   11,843x = 25,327.50 × 25,327.50
4. Step 4: Simplify right side
   11,843x = 641,482,256.25
5. Step 5: Solve for x
   x = 641,482,256.25/11,843
6. Step 6: Final answer
   x = 54,165.52