Finding the Third Proportional to 11,782.50 and 25,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782.50 : 25,645.50 = 25,645.50 : x
2. Step 2: Convert to fraction form
   11,782.50/25,645.50 = 25,645.50/x
3. Step 3: Cross multiply
   11,782.50x = 25,645.50 × 25,645.50
4. Step 4: Simplify right side
   11,782.50x = 657,691,670.25
5. Step 5: Solve for x
   x = 657,691,670.25/11,782.50
6. Step 6: Final answer
   x = 55,819.37