Finding the Third Proportional to 11,782.50 and 25,638.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782.50 : 25,638.38 = 25,638.38 : x
2. Step 2: Convert to fraction form
   11,782.50/25,638.38 = 25,638.38/x
3. Step 3: Cross multiply
   11,782.50x = 25,638.38 × 25,638.38
4. Step 4: Simplify right side
   11,782.50x = 657,326,272.64
5. Step 5: Solve for x
   x = 657,326,272.64/11,782.50
6. Step 6: Final answer
   x = 55,788.35