Finding the Third Proportional to 25,438 and 55,252.56

Step by Step Solution

1. Step 1: Write the proportion equation
   25,438 : 55,252.56 = 55,252.56 : x
2. Step 2: Convert to fraction form
   25,438/55,252.56 = 55,252.56/x
3. Step 3: Cross multiply
   25,438x = 55,252.56 × 55,252.56
4. Step 4: Simplify right side
   25,438x = 3,052,845,662.82
5. Step 5: Solve for x
   x = 3,052,845,662.82/25,438
6. Step 6: Final answer
   x = 120,011.23