Finding the Third Proportional to 25,289.25 and 36,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,289.25 : 36,427.50 = 36,427.50 : x
2. Step 2: Convert to fraction form
   25,289.25/36,427.50 = 36,427.50/x
3. Step 3: Cross multiply
   25,289.25x = 36,427.50 × 36,427.50
4. Step 4: Simplify right side
   25,289.25x = 1,326,962,756.25
5. Step 5: Solve for x
   x = 1,326,962,756.25/25,289.25
6. Step 6: Final answer
   x = 52,471.42