Finding the Third Proportional to 12,575.25 and 25,697.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,575.25 : 25,697.25 = 25,697.25 : x
2. Step 2: Convert to fraction form
   12,575.25/25,697.25 = 25,697.25/x
3. Step 3: Cross multiply
   12,575.25x = 25,697.25 × 25,697.25
4. Step 4: Simplify right side
   12,575.25x = 660,348,657.56
5. Step 5: Solve for x
   x = 660,348,657.56/12,575.25
6. Step 6: Final answer
   x = 52,511.77