Finding the Third Proportional to 11,782.50 and 25,185

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782.50 : 25,185 = 25,185 : x
2. Step 2: Convert to fraction form
   11,782.50/25,185 = 25,185/x
3. Step 3: Cross multiply
   11,782.50x = 25,185 × 25,185
4. Step 4: Simplify right side
   11,782.50x = 634,284,225
5. Step 5: Solve for x
   x = 634,284,225/11,782.50
6. Step 6: Final answer
   x = 53,832.74